Konferenzen  >  Mathematik  >  Geometrie und Topologie

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

The Research Institute for Mathematical Sciences (RIMS)

University of Regensburg

The aim of this workshop is to bring together researchers in bounded cohomology theory and related fields and discuss recent developments. In addition to the invited talks, there will be opportunities for researchers to give contributed talks and ample time for discussions and collaboration.

bounded cohomology, simplicial volume

Research Group Metric Geometry, Karlsruhe Institute for Technology

The main aim of this workshop is to bring together experts in Complex Geometry, Geometric Group Theory, Low dimensional topology, and their interactions. Historically, interactions between these field have proven very fruitful and have lead to an array of interesting research an results. We expect that this workshop will deepen existing and foster new interactions. To achieve this there will be an attractive selection of talks by experts in the different areas, as well as ample time for discussions.

The conference is aimed at exchanging on the latest results in the research areas of Diophantine Geometry and L-functions. This will be the opportunity to celebrate the accomplishments of Marc Hindry in these fields, in the occasion of his 65th birthday.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to exploring and solidifying connections between the mathematical study of higher categories and the exotic physics of topologically ordered systems.

ICERM

Geometric tomography is the area of Mathematics dealing with the retrieval of information about solid objects based on the size of their sections or projections, or other lower dimensional data. Results from this area often find real-world applications in science and engineering. In recent years geometric tomography has seen a rapid period of growth due to many exciting developments in harmonic analysis. The goal of the present workshop is to bring together specialists in geometric tomography, harmonic analysis, and related areas to discuss important advances and share new ideas.

Program Staff;     Tel.: [1-401-863-5030];     Email: info@icerm.brown.edu

Shiv Nadar University

Email: pradip.kumar@snu.edu.in

zero mean curvature surfaces, Lorentz Minkowski space.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Institut Henri Poincaré (IHP)

Statistik, Spieltheorie ,    Wissenschaftliches Rechnen und Datenwissenschaft

Facultade de Matemáticas, Universidade de Santiago de Compostela - CITMAga

The aim of this conference is to gather experts in the study of symmetry in Riemannian geometry. The conference will revolve around the study of curvature, homogeneous and symmetric spaces, Riemannian submanifold geometry, and other related topics in differential geometry and geometric analysis.

CIRM – Centre International de Rencontres Mathématiques

Teilchenphysik und Felder,    Analysis

ICERM

Probabilistic methods have long played an important role in various areas of geometry and analysis. Notable applications of probabilistic methods appear, for example, in geometric functional analysis, in harmonic analysis, and in discrete mathematics. Conversely, mathematical phenomena of fundamentally geometric and analytic origin, such as the concentration of measure phenomenon, play a central role in modern probability theory. Novel interactions between probability, geometry and analysis continue to drive important innovations in these fields.

The aim of this workshop is to bring together a diverse range of experts from probability, geometry, and analysis, in order to promote further dialogue between these fields and to catalyze the creation of new interactions.

Program Staff;     Tel.: [1-401-863-5030];     Email: info@icerm.brown.edu

Angewandte Mathematik (allgem.),    Analysis

Casa Matemática Oaxaca (CMO)

The Research Institute for Mathematical Sciences (RIMS)

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

IME-UFF (Universidade Federal Fluminense - Instituto de Matemática e Estatística); DMat - PUC-Rio (Pontifícia Universidade Católica do Rio de Janeiro, Departamento de Matemática)

A meeting to celebrate the life and work of Paul Schweitzer, bringing together collaborators and other researchers working on related fields. It will focus on the theory of differentiable foliations, riemmannian foliations, Anosov and pseudo-Anosov flows, symplectic and contact structures, characteristic classes and foliated structures associated to partially hyperbolic diffeomorphisms.

Email: stanushevski@id.uff.br

Theory of differentiable foliations, riemmannian foliations, Anosov and pseudo-Anosov flows, symplectic and contact structures, characteristic classes, foliated structures associated to partially hyperbolic diffeomorphisms.

Tulane University, Department of Mathematics

Mathematics Department at Tulane University is happy to announce the 2022 Clifford Lectures in memory of our late distinguished colleague and friend Professor Sławomir Kwasik. Our plenary speaker is Professor Reinhard Schultz (UC Riverside), who will give the following three lectures: Lecture 1. Rational invariants in algebraic and geometric topology. Lecture 2. Isovariant homotopy and classifications of group actions on manifolds. Lecture 3. High-dimensional topology and low-dimensional group actions. In addition, we will host talks by several distinguished researchers in the field of geometric topology. We invite everyone interested in attending the lectures to fill-out the registration form available at the conference website.

Email: rako@tulane.edu

Algebraic topology, geometric topology, group actions, surgery on manifolds.

WAGS is a twice-yearly meeting of algebraic geometers in the western half of the United States and Canada that traces its origins back to the Utah-UCLA Algebraic Geometry Seminar started in 1989. Long term planning for WAGS is currently being organized by Nicolas Addington, Roya Beheshti Zavareh, María Angélica Cueto, José González, Dustin Ross, Karl Schwede, Mark Shoemaker and Farbod Shokrieh.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

The Research Institute for Mathematical Sciences (RIMS)

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

University of Luxembourg

The meeting will highlight recent advances in homotopical algebra and geometry, their interactions and applications. Since its emergence in the 1960s, homotopical algebra has steadily gained in importance and applications. The latter range from algebraic topology and geometry to differential geometry and mathematical physics to topological data analysis and computer science. The conference brings together researchers from these different fields to discuss recently developed topics, ongoing work and speculative new ideas. The event offers a unique opportunity to meet scholars who share a common interest in homotopy theory. There will be sufficient time for discussions between the participants; a poster session for junior researchers will be organized.

Email: damjan.pistalo@uni.lu

Homotopy theory, geometry, applications

The Fields Institute

Structures having Ricci curvature bounded either from below and/or from above in some sense have been at the center of intense investigations in the last ten years, the reason being the deep effect at the geometric, analytic and probabilistic level that this sort of assumption carries. The study of such bounds and their geometric and analytic effects therefore attracts a constellation of mathematicians with a diverse set of skills and backgrounds. The conference aims at gathering specialists from different sectors to foster communication between various (sub)fields of research. We aim at covering the synthetic side of the story, the non-commutative one, the regularity of Ricci-limit spaces and geometric evolution problems.

Mathematical Sciences Research Institute (MRSI)

The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.

Mathematical Sciences Research Institute (MRSI)

The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.

DAKAM (Eastern Mediterranean Academic Research Center)

The conference aims at fostering discussions of theory and research on urban issues. Focusing on a multidimensional urban phenomenon, this international conference aims to deepen the understanding of informality by opening it to discussion with contributions from various disciplines like architecture, urban planning, sociology, history, economy and anthropology.

The emergence of informality as a concept in scholarly discussions can be traced back to the 1970s when “the informal sector” was first used by ILO reports on employment and poverty. The results of the global economic restructuring -such as the flexibilization of production and employment relations, deterioration of collective responsibility and welfare functions of the state- damage the security of the urban poor in terms of housing and working. Meanwhile, recent socio-economic public policies seem to intensify the condition of informality. Now, it is widely accepted that an informal way of living is a necessity for the urban poor as a survival strategy. Hence, informal work and housing constitute a significant proportion of urban economies and policies.

What is new in the neo-liberal age is the extending scope of informality. Today, the boundary between the formal and informal is blurred more than before since most urbanites, including the middle classes, experience both formal and informal encounters in their everyday life. Besides, even the urban rich contribute to informality by the development projects on the invaded peripheral land. Consequently, contemporary informality affects not just a marginal segment of the society but a majority of people living in urban space.

Email: info@dakam.org

Track 01: Rethinking Informality Informality at Home Architecture of informality Squatters / slums / shanties Self-Help housing & upgrading Gated communities Laws and regulations of housing construction Daily life in between formal and informal Immigrants and refugees Crime (association of crime with informality) Urbanization and informality Everyday resistance Place politics Survival strategies Informality at Work Informal economy and service sector Factors shaping informal economy Immigration and informal labor Sub-contracting (Multinational companies, public employment, etc.) International division of labor Globalization/localization effects on work Underground business networks Alternatives to public services Street art / graffiti / musicians Informality in Theory The evolution of the concept in theory Globalization/localization theories Forms of Informality “Culture of poverty”/ “myth of marginality”/ “quiet encroachment of the ordinary”/”mystery of capital” Urban informality in popular culture Track 02: Transportation, Planning and Local Administrations Transportation and Local Differences Transportation and Economic Development at the Local Level Urban Mobility Automated Driving and Smart Mobility Investment in Transport Infrastructure The promotion and integration of non-motorised modes Resilience to the effects of changes in the climate Assessment of techniques for the appraisal of major projects Models to support Transport Planning and Policy ​ Track 03: Policy Matters and Political Transformations Citizenship / immigration / informality Alternative ways of civic participation Decision making at the local/national levels National public policies’ strategies dealing with the informal Legal and institutional framework Informality and the ‘Right to the City’ Social Policies to fight/support the informal The Role of the Local Governments on the Public Security Coverage and Quality of Health Services Politics and local elections The policies, instruments and orientation of International Organizations like UN, WDB, ILO Instruments of NGOs and opposition Track 04: Economy, Inequality and Urban Space Economic restructuring and economic crisis Local Governments and Economy Equlity, inequality and urban space Cities and Dynamics of economy Role of the cities in the globalization process Resistance and Urban Space Social Capital and Urban Land Use ​ Track 05: Ecology and Urban Studies Local Governments and Energy Urban Green Space Ecology and built area – buildings, roads, drainage etc Pollution and Industry Natural resources and urban planning Natural landscape/protective landscape – forest/wildlife ecology Agriculture, Productive landscape – rural ecology Rural Planning Street trees and home gardens Water bodies – ponds, rivers Urban ecosystems: Climate, soil, hydrology, species composition, population dynamics, the flow of energy.

Bauingenieurwesen, Architektur und Geotechnik,    Geographie, Kartografie

The main goal of the workshop is to bring together experts in the fields of magnetism and topology in order to discuss the accomplished progress and perspectives for future developments in the field of bulk magnetic topological materials. The program will cover fundamental aspects such as symmetry in topology, focus on topological and emergent properties of non-collinear magnets and multi-k spin textures as well as related experimental and theoretical methods. While a broad overview of the field will be discussed, a particular emphasis will be on the application of scattering techniques for the experimental elucidation of complex magnetic phases and textures. We aim to develop interdisciplinary communication and collaborations among internationally leading experts and to encourage young researchers to contribute to the field.

ICERM

Extremal problems in harmonic analysis recently acquired prominence in questions ranging from optimizers in Fourier restriction results to sharp geometric inequalities to sharp estimates of various singular operators of Calderón–Zygmund type. Sharp inequalities and their stability versions reveal new connections between harmonic analysis, geometric measure theory, additive combinatorics, and stochastic optimal control. There are many examples of sharp estimates by stochastic control approach and the use of special types of convexity and Monge–Ampére equation. There are interesting examples of using the computational tools in proving sharp geometric inequalities for martingales and on Hamming cube and for Fourier restriction inequalities.

Program Staff;     Tel.: [1-401-863-5030];     Email: info@icerm.brown.edu

Angewandte Mathematik (allgem.),    Graphentheorie und Kombinatorik

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to recent developments in the study of Lagrangian Floer theory of symmetric products of Riemann surfaces and Hilbert schemes of symplectic 4-manifolds, and their applications both to symplectic topology and the low dimensional topology.

CIRM – Centre International de Rencontres Mathématiques

American Mathematical Society

Diophantine equations are systems of polynomial equations solved over integers or rational numbers. Diophantine geometry is the study of Diophantine equations using ideas and techniques from algebraic geometry. It is one of the oldest subjects of mathematics and the most popular part of number theory connecting it to algebraic geometry.

The goal of this session is to explore recent developments in the theory of arithmetic geometry and with special focus on curves and Jacobian varieties. We intend to bring together mathematicians, working on this area of research, from the USA and from Europe encouraging further cooperation and discussion. We will especially encourage younger mathematicians and graduate students and newcomers in the area.

The session will focus on the following topics, but we will be open and welcoming to talks which do not fall in the list of topics below.

Tel.: [2477607447];     Email: shaska@risat.org

algebraic curves, Abelian varieties, isogenies, torsion points, Tate modules, heights, weighted heights, height conjectures, Brauer group, K3 surfaces, Kummer varieties, Néron-Tate heights, Minimal models, minimal height, Néron models, Brauer-Siegel theorem, Mordell-Lang conjecture, Mordell-Weil, Bombieri-Lang conjecture, Vojta’s conjecture

Zahlentheorie, Arithmetik,    Algebra

In this workshop we will study surfaces in 3-manifolds from several perspectives. Each participant will be asked to give a 2-hour lecture.

Potential subtopics include but are not limited to: Virtual Haken, Character variety methods, Foliations, Minimal surfaces, Totally geodesic surfaces

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The goal of this workshop is to create an opportunity for researchers in low-dimensional topology to encounter new research in the area, to establish new collaborations and reestablish existing ones, and to compensate for the relative isolation inflicted by the Covid-19 pandemic. One particular goal is to help researchers at earlier stages of their career to form connections, as these people were heavily affected by travel restrictions in 2020-21 and an inability to build networks. Together, ju- nior and senior researchers will exchange techniques, attack outstanding conjectures, and develop new directions of study.

The Fields Institute

This workshop will further explore interactions between set theory, Ramsey theory, and the geometry and dynamics of Polish groups. An emphasis will be placed on the large scale geometry and dynamics of homeomorphism groups, mapping class groups of spaces of infinite type, and of automorphism groups of countable structures. It will also include work on automatic continuity in the context of transformation groups.

Geometric Group Theory

Gruppentheorie,    Algebra

CIRM – Centre International de Rencontres Mathématiques

The conference will be the closing event of the ANR project1 ChroK, Chromatic homotopy and K-theory. A major goal is to bring together a wide range of researchers in the above fields, from advanced PhD students to leading experts, to share recent advances in research, discuss the challenges ahead, and to develop collaborations and shape long-term projects.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

We aim to unite the study of structure and dynamics by fostering conversations between researchers who use the HHD in areas including economics, game theory, statistical physics, and machine learning. We also aim to promote collaboration between industrial and academic teams using the HHD.

CIRM – Centre International de Rencontres Mathématiques

The purpose of this school is to familiarise advanced Master’s students, Ph.D. students and early career researchers with the central themes of research in arithmetic geometry,and teach them both classical and state-of-the-art tools in the field. The research school is an introduction to the conference SAGA, “Symposium on Arithmetic Geometry and its Applications” and it consists of four 3-day mini-courses, taught by teams of internationally renowned researchers, who are known to be excellent teachers.

Zahlentheorie, Arithmetik,    Kurse und Veranstaltungen für Studenten der Mathematik

Mathematical Sciences Research Institute (MSRI)

This workshop will highlight talks on various aspects of Diophantine Geometry. The goal of the workshop is to bring together researchers at different career stages and of various backgrounds in order to establish new collaborations and mentoring relationships.

CIRM – Centre International de Rencontres Mathématiques

The conference will focus on the recent developments in arithmetic geometry, its applications and explicit and computational methods in approaching the relevant problems. There will be four main axes around which all talks will be organised: Automorphic forms and moduli spaces; Galois representations: geometric and constructive, modularity; Rational points and obstructions; Effective methods in arithmetic geometry. Leading experts in the field have accepted to contribute to the conference, making it a particularly interesting event.

Mathematical Sciences Research Institute (MSRI)

This workshop will feature expository lectures about current developments in Diophantine geometry. This includes the uniform Mordell—Lang for rational points on curves, the Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and p-adic Hodge theory.

Algebra,    Zahlentheorie, Arithmetik

The workshop focuses on four main speakers, each giving a 4-hour mini-course on a topic in Geometric Group Theory. Their lectures present a panoramic overview over some important developments in their field with the goal to enable the participants to actively participate in the new directions of research emerging from these developments.

Gruppentheorie,    Kurse und Veranstaltungen für Studenten der Mathematik

CIRM – Centre International de Rencontres Mathématiques

The conference will be devoted to the study of algebraic varieties over finite fields from an algebraic geometry point of view as a combinatorial one and their applications to coding theory.

Featured topics will include theoretical, effective and algorithmic aspects of point counting as well as algebraic geometry codes constructed from curves and higher dimensional varieties.

ICERM

Discrete periodic Schrodinger operators describe the behavior of individual electrons in "ideal" crystals in the tight-binding model of solid state physics. Spectra of such operators have the usual band-gap structure, and the corresponding dispersion relations are algebraic varieties. In the 1990's Gieseker, Knorrer, and Trubowitz used toroidal compactifications to solve questions such as irreducibility of Bloch and Fermi varieties and the density of states, for a class of mono-atomic models. Their work showed that while spectral theory is focused on the real part of the Bloch variety, the study of complex singularities and compactifications is crucial for describing formation of bands and gaps. After a gap of 30 years, spectral theory is again interacting with algebraic geometry. Recently, W. Liu gave an algebraic method to obtain more general proofs of irreducibility for Fermi surfaces, Kravaris used free resolutions to study density of states, and Kuchment and coauthors used toric varieties and numerical nonlinear algebra to study spectral edges. These and other developments have led to the realization that many open questions in spectral theory may be studied using modern tools in algebraic geometry. These include the relation of reducibility/irreducibility with physical symmetries of the crystals, the structure of spectral band edges, and Dirac cones. These methods can also be applied to quantum graphs, such as graphene-type structures, and to obtain existence and non-existence theorems for embedded eigenvalues. The goal of this workshop is to bring together experts from spectral theory, mathematical physics, and algebraic geometry to understand, apply, and advance these new methods and interactions. A significant aspect of these reemerging interactions involves computation. A key recent development in algebraic geometry is computation, both symbolic and numerical. Computation and experimentation using tools from algebraic geometry have already been important in two recent papers by Sottile on this subject, and we expect it to become a useful tool for studying periodic operators. Speakers in this workshop are firmly rooted in the uses of computation and experimentation in applications of Algebraic Geometry, and many are familiar with exploiting the atmosphere and facilities of the ICERM to initiate collaboration.

Program Staff;     Tel.: [1-401-863-5030];     Email: programstaff@icerm.brown.edu

Algebra,    Angewandte Mathematik (allgem.)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The central problem in algebraic geometry is to classify so-called algebraic varieties: geometric shapes cut out by algebraic equations. Algebraic varieties are parametrized by certain moduli spaces (parameter spaces whose points correspond to these different varieties) and the geometry of these moduli spaces encodes the ways of continuously deforming these shapes. Furthermore, classification questions for algebraic varieties often boil down to understanding the geometry of these moduli spaces. In the past few years, powerful new tools have been developed in moduli theory but there are still many open questions, especially in higher dimensions. This workshop will bring together a diverse group of researchers in moduli theory in order to apply these new tools to explicit examples of the classification of higher dimensional algebraic varieties and their moduli spaces and push our understanding of higher dimensional algebraic geometry to new frontiers.

University of Pennsylvania

The Geometry and Strings 2023 conference is a continuation of the series of conferences that stem from the meetings "Physics and Geometry of F-theory", established in 2012. In 2019 the conference was renamed "Geometry and Strings 2019" in order to signify the broadening of the range of topics so as to attract a broader community with an interest in the interplay between geometry and string theory.

ICMS - International Centre for Mathematical Sciences

There is a history of fruitful links between low-dimensional topology and number theory, going back at least to Mazur's observation that primes in number rings can be viewed as analogues of knots in a 3-manifold. More recently, the introduction of arithmetic gauge theory by M. Kim and collaborators paves the way to further bring ideas from theoretical physics to bear on fundamental problems in number theory and arithmetic geometry. This conference aims to explore this exciting new direction, and the links between number theory, topology and physics in general, with a particular focus on the role played by gauge fields as a unifying framework.

Zahlentheorie, Arithmetik,    Mathematische Physik

Families of p-adic automorphic forms are well studied objects of arithmetic geometry since the pioneering work of Hida and Coleman. Their study resulted in the definition of geometric objects, called eigenvarieties, that parametrize systems of Hecke eigenvalues of p-adic automorphic forms. Conversely, the rich geometry of these varieties gives insights about p-adic (and thereby also about classical) automorphic forms. Recent techniques from perfectoid geometry, locally analytic representation theory and the point of view of the p-adic Langlands program give new insights and impulses. The spring school will give an introduction to both p-adic automorphic forms and eigenvarieties as well as the necessary background in p-adic analytic geometry. The courses will be complemented by research talks that will focus on recent developments in the area.

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The researchers participating in this workshop come from several mathematical subdisciplines, including combinatorics, algebraic geometry, and theoretical computer science. Their work and common interest here is to investigate new interactions between discrete mathematics, algebra, algebraic geometry, tropical geometry, and combinatorial algorithms. Some participants have collaborated before in smaller groups, but this meeting will provide an opportunity to work together more intensively. Several recent mathematical breakthroughs will be highlighted in the workshop, including the recent resolution of some long-standing open problems about graphs and matroids. These breakthroughs used a surprising combination of interdisciplinary techniques which the organizers expect to have exciting further applications.

Graphentheorie und Kombinatorik,    Informationstheorie und Grundlagen der Informatik

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

This workshop focuses on interactions between real algebraic geometry, operator theory, and optimization, with a particular emphasis on the interrelations with the Koopman operator approach to optimization and control. It is an outgrowth of three previous successful MFO workshops held in 2014, 2017, and 2020, themselves a continuation of a long series of MFO workshops on real algebraic geometry which started in 1984. The mathematical topics of interest include sum-of-squares representations of non-negative polynomials in commutative and non-commutative algebras and the dual problem of moments, including various applications, and the use of linear infinite dimensional methods in nonlinear dynamical systems.

Mathematical Sciences Research Institute (MSRI)

The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Northwestern University, Evanston, IL

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The workshop will bring together some of the world's top experts and early career mathematicians working at the interface of Stochastics and Geometry, broadly understood. Through expository talks and research presentations, the workshop will give a vibrant overview of the most recent developments in the interaction between analysis, geometry and stochastic analysis. The focus of the workshop will be different approaches to random processes in geometric settings, with emphasis on problems on heat kernel analysis on finite- and infinite-dimensional manifolds, often equipped with degenerate geometries, as well as random matrices and non-commutative probability and geometric rough paths. Another objective of the workshop is to identify fundamental open problems in this area that are motivated by mathematical physics and other potential applications. We plan to maintain geographic diversity and invite many promising early career mathematicians.

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Recent developments in several disparate areas make it a pressing and opportune time to confront the interplay between topology, symmetry and interactions. This conference will catalyze the discussion on this broad topic by highlighting a burst of recent advancements, both theoretical and experimental, along this direction. An important goal is to enhance cross-talk between the weakly and strongly correlated communities interested in topology that have not yet had adequate interactions with each other. The conference will bring participants up to speed in this rapidly growing field and sharpen the central questions that will be discussed in the remainder of the associated program.

Festkörperphysik,    Mathematische Physik

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

A shape is "convex" if for any two points in the shape, the line segment connecting them does not pass out of the shape. This fundamental notion is the beginning of a wide array of ideas in geometry and analysis, leading to much more general theories in which "line segment" is replaced by other more flexible objects, or where "convexity" is determined by properties only analogous to the classical ones. Such generalized ideas of convexity are particularly important in the mathematical fields of symplectic topology and complex geometry. While links between the symplectic and complex versions of complexity have been recognized for some time, recent years have begun to see the emergence of an even closer relationship in which techniques and tools from one field can shed light or inspire new directions in the other. This workshop will include specialists in complex analysis, symplectic geometry, contact topology, and smooth manifold theory, with the goal of introducing researchers in these fields to the techniques, ideas, and open problems in the others, united by the theme of convexity in various forms. Students and emerging researchers will be grouped with established scholars to establish new professional connections and research directions, and groups will work together to begin to bring their various tools together toward the solution of major open problems in the field.

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

High-quality randomness is a valuable commodity in computation, experimentation, and discovery. This workshop focuses on randomness as a resource within real and complex algebraic geometry. The program highlights three current research trends: understanding the statistical properties of fundamental geometric invariants, developing randomized algorithms for symbolic and numerical calculations in algebraic geometry, and exploring the synergies between algebraic geometry and data analysis. This workshop will, for the first time, bring together a wide range of mathematicians interested in random algebraic geometry.

Banach Center

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Soon after Einstein postulated the General Theory of Relativity, he introduced what he called his "greatest mistake'', the so-called cosmological constant. Solutions of the Einstein equation with cosmological constant are now called Einstein manifolds, and despite Einstein's pessimistic view, play key roles both in mathematics and physics. Quasi-Einstein manifolds are generalizations of Einstein manifolds, which include not only Einstein manifolds but Ricci solitons, warped product Einstein manifolds, static Einstein manifolds, and other special manifolds. These are important in many areas of modern mathematical research, including Ricci flow, collapsed Gromov-Hausdorff limits, and general relativity. This workshop will examine progress in seemingly disparate fields which in fact share a common nexus, namely quasi-Einstein manifolds or the related notion of Bakry-Emery Ricci curvature. Problems to be discussed include the classification problem for near horizon geometries (of black holes), for Ricci solitons and for static Einstein metrics, as well as the fundamental gap problem for Laplace and Schroedinger operators, and the formulation and application of synthetic Bakry-Emery Ricci curvature.

This conference will focus on the interactions between manifolds and submanifolds of dimensions 1, 2 and 3 and their relations to topological, geometric, and group theoretic questions in a celebration of the accomplishments and influences of Yair Minsky.

Gruppentheorie,    Algebra

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The influence of networks in our daily life is swiftly increasing. Examples of physical networks are those that involve passenger transfers or simply the connections between different computers to send information. On the other hand, virtually, we find social networks, such as Facebook, Instagram and so on, which are widely used and known by a high percentage of the world's population. Currently, the construction of networks that optimize certain real hypotheses, is a vast area that provides mathematical problems whose answers solve real situations.

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Nanoparticle assembly is a hierarchical approach to functional materials. It operates at the mesoscale where elementary building blocks still feel their atomic nature and can profit from quantum function but at the same time are flexible enough in shape and interaction to permit high structural complexity. The realization of nanoparticle assemblies requires the convergence of and communication among several scientific disciplines: chemistry for synthesis, materials science for characterization, chemical engineering for up-scaling, and physics for a theoretical description and quantum phenomena. The goal of the conference will be to provide a coherent view of the current state of the field, bringing together researchers with different expertise and background. It should catalyze the development of new methods, both theoretical, computational and experimental, and define the basic science in this field. A focus will be recent developments but also a look forward: What should be the focus for the next decade and beyond? What are they key physics concepts that need to be developed and from where will the new game-changing technological advances emerge?

Clusterphysik, Nanowerkstoffe, Graphen und Fullerene,    Mathematische Physik

The Fields Institute

The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds, begun by S. Lefschetz, and well established by the late 1950's. Many of the important Artinian graded algebras appear as cohomology rings of an algebraic variety or manifold, though recent important developments have demonstrated important cases of the Lefschetz properties beyond such geometric settings (such as Coxeter groups or matroids). This renews interest in understanding the Lefschetz property, and Artinian algebras that admit them, systematically.

Algebra,    Graphentheorie und Kombinatorik

The Fields Institute

This is the 17th in the sequence of annual workshops traditionally held in the month of May at Nipissing University. Among our participants, we expect to have a number of prominent mathematicians from Canada, USA and abroad. The purpose of these workshops/seminars has been mainly to provide opportunities to researchers to learn a new area as well as opportunity to collaborate. As a result of these workshops there have been numerous collaborations dealing with problems in dimension theory, geometric topology, C*-algebras, set-theoretic topology, continuum theory and complex dynamics.

ICERM

This workshop focuses on the interplay between dynamics, rigidity, and arithmetic in hyperbolic geometry and related areas. There have been many striking developments in recent years, particularly related to totally geodesic submanifolds in both finite and infinite volume hyperbolic and even complex hyperbolic manifolds.

One aim of this workshop is to expose young researchers to these breakthroughs providing them with the necessary background from dynamics, and geometry to allow them to appreciate some of these recent advances, and prepare them to make new original contributions. For this purpose, we will have minicourses on ”Arithmeticity, Superrigidity and totally geodesic manifolds”, and ”Rigidity and geodesic planes in infinite volume hyperbolic manifolds”. These courses will be preceded by an introductory minicourse on Hyperbolic geometry. We will also have a minicourse on ”Understanding of geodesic planes in hyperbolic 3-manifolds via computations and visualization”. In addition, we wish to bring together experts in these fields to discuss the recent developments and open problems that lie at the crossroads of these different fields and to encourage more interaction among people working in these diverse areas.

Program Staff;     Tel.: [1-401-863-5030];     Email: info@icerm.brown.edu

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

CRM / Université de Montréal

Understanding the geometry of the finitely generated subgroups of a group informs our understanding of that group significantly. For example, some hyperbolic groups enjoy the property that every finitely generated subgroup is quasi-convex. Groups which are incoherent and groups which are algebraically fibered do not have this property. This conference aims to explore some of the many directions in this field, including quasi-convexity in other contexts.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Hypoelliptic operators are a natural generalization of, and share similar analytic properties to, elliptic operators. These were originally studied in the PDE and microlocal analysis literature in classical works of Hörmander, Boutet de Monvel and Rothschild-Stein among others. Hypoelliptic operators have since increasingly appeared and are now pervasive in several branches of geometry. The purpose of this workshop will be to bring together researchers from different geometric fields working on hypoelliptic operators to explore common themes.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

There exists a mysterious algebraic structure in 8-dimensional space that does not behave in the same way as the ordinary arithmetic that we all learn as children. Somewhat surprisingly, this strange algebra, called the octonions, shows up naturally in the study of certain higher dimensional geometric spaces, called manifolds, that are of importance in physics and in the study of the equations introduced by Einstein in general relativity. Geometers have been studying such spaces for a number of years, mostly using tools from calculus and differential equations. The proposed workshops intends to introduce these researchers to experts in the special octonion algebra, as well as in related special algebraic structures called spinors, to facilitate a cross-pollination of ideas, methods, and techniques. Some of these groups have never before been brought together in this way.

Casa Matemática Oaxaca (CMO)

The mathematical notion of a group encapsulates our common idea of symmetry. Groups play an important role in mathematics, and their structure has profound impact in the solution of a variety of problems in pure and applied mathematics. Groups are often studied from different perspectives, putting an emphasis on qualitatively different features of their structure, and therefore leading to the resolution of problems that tend to be different in nature. The aim of this workshop is to bring together some of the leading figures in two of these areas, so that each can learn new problems and techniques from the other. This will help open new avenues of research which will advance the current state of the art.

CIRM – Centre International de Rencontres Mathématiques

One of the most striking recent results in model theory is Johnson’s classification, in 2020, of fields of finite dp-rank : under purely combinatorial condition (the finiteness of a certain dimension) infinite non algebraically closed fields must come with a definable henselian topology. This result illustrates (and partially explains) the very strong relationship between valuation theory and model theory that has existed since the 1960’s. Valued fields are also at the center of the interaction between model theory number theory and algebraic geometry which blossomed in the past fifteen years. This conference will bring together specialists from the algebraic, arithmetic and the pure model theory communities that all study valued fields, but with very different tools. Our aim is, by ensuring a continued dialog between these communities, to further exchanges and promote new interactions. Its main focus will be on the arithmetic of valued fields, classification and geometric model theory in valued fields and non archimedean tame geometry.

Lorentz Center

Banach Center

Classical Fourier analysis uses decompositions of functions in terms of linear phases. In recent years it was discovered that for applications in ergodic theory, combinatorics, and number theory, involving patterns such as arithmetic progressions, one has to study correlations of functions with higher order polynomial phases and other more general phases, called nilsequences, which arise from natural dynamical systems on nilmanifolds. This philosophy has helped to make progress in problems that were previously considered intractable, and has resulted in new impressive applications in the above-mentioned areas. In ergodic theory this approach is used to study the limiting behavior of multiple ergodic averages and related multiple recurrence results, in topological dynamics it has led to new structural results, and in combinatorics and number theory it is used to study patterns that can be found in sets of positive density or the set of primes. Also, very recently it has played a decisive role in progress related to the Chowla and Elliott conjectures on correlations of bounded multiplicative functions and the Mobius disjointness conjecture of Sarnak. The aim of the workshop is to introduce the above topics to a wider audience, report on recent developments, and foster collaborations and new insights.

Algebra,    Graphentheorie und Kombinatorik

ICMS - International Centre for Mathematical Sciences

Algebra,    Gruppentheorie

CRM / Université de Montréal

This workshop focuses on several themes related to the fundamental groups of 3-manifolds. The themes include: the theory character varieties, Thurston norm polytopes and fibrations, orderability, profinite rigidity, and variations on the Cannon conjecture. The first week of the workshop will feature mini-courses by Ian Biringer (Boston College), Michelle Chu (Minnesota), Nathan Dunfield (Illinois-Urbana), and Daniel Groves (Illinois-Chicago). The second week will be devoted to research talks.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

This workshop will focus on geometry, topology and their applications to control systems. Control theory deals with the problem of shaping the behavior of "systems", which can mean an engineered object, such as a robotic arm used for remote surgery, or a natural one, such as a flock of birds or even the brain. The basic driving questions are how to control or design a system which performs as desired. Geometric and topological ideas have led to technological breakthroughs throughout the years, but geometric thinking in engineering has not yet permeated the mainstream. The goal of this workshop is to bring together a diverse group of engineers and scientists working in geometry, topology and their intersection, in order to open new frontiers of research and applications.

Casa Matemática Oaxaca (CMO)

A mathematical knot can be thought of as a piece of knotted string with ends attached. This knotted circle is allowed to move freely in space as long as it does not pass through itself. In recent years the study of knots has gained momentum through a series of applications, for instance in physics and in molecular biology. Such applications bring new urgency to certain classical questions pertaining to knots and how they sit inside 3-dimensional space.

Casa Matemática Oaxaca (CMO)

In addition to further developing equivariant bordism theory directly, the workshop participants will apply this theory to understand symmetries of high-dimensional objects in terms of lower-dimensional objects with similar symmetries, and, conversely, to understand when it is possible for an object with symmetry to be used to build a higher dimensional object with the same symmetry. The participants will also apply equivariant bordism theory to certain problems arising in quantum physics. Algebraic aspects of symmetry have been exploited to great effect in recent years in order to understand certain quantum mechanical systems called ``topological quantum field theories," and the workshop will push these applications further by coupling them to the geometric techniques enabled by equivariant bordism theory. The workshop activities have been carefully organized with the goal of nurturing new cosmopolitan research collaborations that unite experts and students from diverse backgrounds---both mathematical and personal.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

ICMS - International Centre for Mathematical Sciences

This workshop will aim to bring together experts in the theory of C*-algebras with mathematicians who have already been inspired by C*-algebras or who work in areas where there are natural connections with C*-algebras.

In the early 1920s, Emmy Noether introduced the fundamental concept of a Noetherian ring, a notion that has had a remarkably broad impact on mathematics over the last century. In this conference, we celebrate Noether's legacy with research talks from many areas of algebra, broadly construed, including algebraic geometry, commutative algebra, number theory, and representation theory.

Algebra,    Zahlentheorie, Arithmetik

CRM / Université de Montréal

The mini-courses and research talks will address several themes, including: nonpositively-curved cube complexes, median spaces, (coarsely) Helly spaces and groups, and various combinatorial notions of nonpositive curvature. The first week of the workshop involves mini-courses by Elia Fioravanti (MPI Bonn), Thomas Haettel (Université de Montpellier), Nima Hoda (ENS Paris), Nir Lazarovich (Technion). The second week will be devoted to research talks.

Gruppentheorie,    Graphentheorie und Kombinatorik

Casa Matemática Oaxaca (CMO)

Convexity is a branch of classical mathematics and it is located at the confluence of geometry, analysis, topology and combinatorics. Although its origins can be traced back to Archimedes and its systematic study started at the end of the nineteenth century, it was not until the mid-twentieth century that convexity became a well established branch of mathematics. Nowadays, it is an important area that is attracting young researchers and students. Why? Because of its intrinsic beauty, it’s fascinating and intriguing open questions that have an instant intuitive appeal, but also, because of its many relations with other areas of mathematics and its multiple applications, such as in economics, engineering and data science. The purpose of this workshop is to bring together key people working in this area, in order to explore recent progress and to help focus on future research directions.

Renyi Institute

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

CIRM – Centre International de Rencontres Mathématiques

ICMS - International Centre for Mathematical Sciences

This workshop will bring together researchers with common interests in fractals and related areas such as ergodic theory, geometric measure theory, and analysis. The aim of the workshop is to stimulate collaboration and research activity between the various groups in the UK, encourage and support the work of early career researchers in this area, and provide a platform for dissemination of work in fractal geometry.

ICMS - International Centre for Mathematical Sciences

The main objective of this workshop is to bring together a range of researchers in geometry and topology, whose research interests are closely aligned to topics where geometric flows either already or are expected to play a key role, with experts in the analysis of geometric flows.

ICERM

This will be a one-week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. This workshop is an activity of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation' and is supported by the Simons Foundation.

Program Staff;     Tel.: [1-401-863-5030];     Email: info@icerm.brown.edu

Zahlentheorie, Arithmetik,    Numerische Analysis

Affine algebraic geometry studies algebraic subvarieties of complex affine space C^n. A major contributor to this field in the following generation is Shulim Kaliman, whose work this conference is intended to honor on the occasion of his 70th birthday. The conference will feature 10-12 prominent plenary speakers from among Kaliman's research colleagues, such as Mikhail Zaidenberg, with additional talks that include younger researchers. Kaliman's work draws from an impressive range of tools, not only in algebra and geometry but also in topology and analysis. The title of the conference reflects this: the embeddings, automorphisms, structure and topology of affine varieties are themes running throughout Kaliman's work. The talks will focus on current trends within these themes, and will not only bring together active researchers in the field but will also seek to engage students and early career researchers in the study of affine algebraic geometry.

Banach Center

ICMS - International Centre for Mathematical Sciences

The principal objective of the workshop is to bring together researchers in the relevant areas to consolidate recent advances, present new results and encourage collaborations on extensions of recent work or new ideas.

Graphentheorie und Kombinatorik,    Komplexe Netzwerke

Galileo Galilei Institute For Theoretical Physics

Casa Matemática Oaxaca (CMO)

The workshop is designed to explore the interactions that exists between set theory, topology, and algebra. The focus of the workshop will be on the study of topological problems of set-theoretic flavor arising in topological algebra and algebraic topology, as well as the study of topological games and homogeneity.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The workshop is concerned with geometric objects arising from polynomial equations known as algebraic curves. Such curves have been studied extensively since the 19th century, but recent developments in combinatorics have led to a plethora of new techniques and solutions to major problems in the field. Bringing together experts from classical algebraic geometry and the adjacent combinatorial areas, the workshop aims to bridge the different points of views, identify key open problems in the field, and to examine how progress can be achieved via a combination of old and new tools.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Graphentheorie und Kombinatorik

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Casa Matemática Oaxaca (CMO)

This workshop will concentrate on the development on new topological tools to capture the structure of data that depends on many parameters simultaneously. The meeting will provide an welcome opportunity to bring together many parts of mathematics to support topology in this work, and to discuss a new range of potential exciting applications.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

ICMS - International Centre for Mathematical Sciences

Some of the most exciting developments in geometric representation theory revolve around the relatively new theory of W-algebras. Broadly speaking these are obtained via the process of quantum Hamiltonian reduction from the some of the most influential structures in modern representation theory: enveloping algebras and universal affine vertex algebras. The applications of W-algebras are seemingly endless, but we list some key examples: the ordinary and modular representation theory of Lie algebras, the classification of integrable systems (especially generalisations of the KP hierarchy), a deeper understanding of smooth representations of affine Lie algebras, conformal field theories (and their associated AdS duals), modular tensor categories and the famous geometric Langlands program, once described by Edward Frenkel as “the grand unifying theory of mathematics”. The aim of this workshop is to bring the world's leading experts together to investigate recent developments in the theory of W-algebras and their representation theory, as well as interactions with other topics in geometric representation theory.

Banach Center

This conference is a celebration of the mathematical career of Szymon Dolecki, representing advances in the various fields he contributed to: Control Theory and observability (main speaker: Enrique Zuazua), Optimization (main speaker: Jean Paul Penot), Topology (main speakers: Alexander V. Arhangel’skii, Ahmed Bouziad, Jean Goubault-Larrecq, Steve Watson), as often as possible from the point of view of the unifying theme of convergence space theory (workshop leader: Frédéric Mynard), a domain of which he is one of the most prominent world specialist and that centrally occupied the later part of his career.

Casa Matemática Oaxaca (CMO)

The proposed Workshop aims to study bridges between representations of algebras on one side and algebraic geometry and singularity theory on the other. One such bridge is provided by a process called `silting', allowing for example the transfer of combinatorial or homological structure in either direction. It is expected that the joint efforts of a group of internationally leading experts from many different areas of mathematics is yielding new insight in the difficult nature of these objects of study.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

CIRM – Centre International de Rencontres Mathématiques

The conference is about recent developments in Arithmetic Algebraic Geometry. Its central theme is the geometry of Shimura varieties and related spaces in all its facets. Topics to be covered include: Integral models of Shimura varieties and the geometry of their reductions, p-adic and perfectoid geometry, special cycles on Shimura varieties, moduli spaces of Galois representations and (φ, Γ)-modules.

CIRM – Centre International de Rencontres Mathématiques

ICMS - International Centre for Mathematical Sciences

Topology is likely to be featured prominently in any truly useful quantum computation scheme. The hurdle of scalable fault-tolerance is insurmountable with the current incremental progress -- while it is possible to engineer systems supporting hundreds of physical qubits, applications beyond academic interest require millions of qubits to implement robust error correction. Topological quantum computation (TQC) relies upon the preparation of topological phases of matter supporting non-abelian anyons to perform inherently fault-tolerant operations. As errors are corrected at the hardware level through the topological nature of anyons, the problem of scalability is simultaneously overcome. On the other hand, despite years of effort we still don't have unassailable confirmation that non-abelian anyons exist. This workshop will bring together researchers in a diversity of fields in and around TQC for the purpose of broadening and deepening the subject, with an eye towards accelerating the realization of scalable technology.

Quantenmaterialien, Tieftemperaturphysik,    Quantenmechanik und Quanteninformation

Banach Center

The conference concerns the broadly understood mathematical analysis, in particular, the so-called geometric analysis (including calculus of variation and partial differential equations of geometric origin, Sobolev spaces theory on manifolds and on metric spaces, and knot theory issues related to curvature energies).

Analysis,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The Banff International Research Station will host a diverse, international group of mathematicians in 2023 to study geometric approaches to fluids and optimal transport. The ideas of geodesic settings for fluids have been circulating since the late 1960s, but received a strong surge lately, in the last 5-10 years, with the development of new techniques in infinite-dimensional geometry and group theory. The original idea is that the particles in an ideal liquid or gas move in a curved infinite-dimensional space, in the same way as an airplane flying around the earth: along the shortest path. Properties of the fluid, such as how well it can be predicted in the future, how well it mixes together, and how extreme the speed can be, can all be related to how curved this infinite-dimensional space is, which helps us understand features of the weather and climate geometrically. More recently similar ideas have been used to understand solids as well, for example when a pile of rocks are transported from one place to another at the optimal cost.

Festkörperphysik,    Thermodynamik, Hydrodynamik und Statistische Mechanik

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Many important questions in convex geometry are related to the study of sections and projections of convex bodies. For example, can convex bodies be uniquely determined by the size of their sections or projections? What are the largest and smallest sections of the cube? Do convex bodies with smaller sections have smaller volume? A common feature of all these problems is that they are solved with the help of harmonic analysis. The aim of the proposed workshop is to bring together leading experts and young researchers to discuss recent progress in applications of harmonic analysis to convex geometry.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The concept of manifold in mathematics corresponds approximately to the everyday idea of a smooth surface --- think of soap bubbles or sheets of fabric --- except that it can have any number of dimensions. A question that lies at the origin of topology, the mathematics of shape, is: can we write down a list of all manifolds? At first, such a classification was attempted through numerical invariants. Over time, the focus of algebraic topology has shifted from using numerical invariants to the algebraic objects underlying them, and then ascended further to studying moduli spaces. This workshop concerns recent breakthroughs in this philosophy for studying of manifolds, combining higher-algebraic methods with novel geometric techniques.

CIRM – Centre International de Rencontres Mathématiques

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

CIRM – Centre International de Rencontres Mathématiques

Algebra,    Zahlentheorie, Arithmetik

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Algebra,    Graphentheorie und Kombinatorik