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The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

CIRM – Centre International de Rencontres Mathématiques

Algèbre,    Théorie des nombres, arithmétique

CIRM – Centre International de Rencontres Mathématiques

Research Center Geometry at the Frontier

The Iberoamerican Geometry Congress (IGC) has a history of bringing together researchers and students from various mathematical communities in America, Spain, Portugal, and other regions of the world. The aim is to foster an exchange of ideas between mathematicians in different fields, connected by geometry, especially Riemann surfaces, abelian varieties and related areas. The VIII edition will take place at Pucón, Chile, on December 10-15, 2023. The preliminary program consists of eight plenary talks and four special sessions on Higher Dimensional Algebraic Geometry, Dynamical Systems, Algebraic Surfaces and Riemann Surfaces.

Email.: geometryrc@ufrontera.cl

Complex Geometry, Algebraic Geometry, Riemann surfaces, Algebraic Surfaces, Dynamical Systems.

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

Algèbre,    Théorie des graphes et combinatoire

In this workshop we will study infinite-type surfaces and their mapping class groups from several perspectives. Each participant will be asked to either give a lecture or run a problem session.

Théorie des groupes,    Algèbre

Isaac Newton Institute for Mathematical Sciences (INI)

The programme will start with an introductory school on equivariant methods in algebraic and differential geometry for graduate students, postdocs and those who are interested in learning background material for the programme.

Algèbre,    Cours et évènements pour étudiants en mathématiques

American Institute of Mathematics, Pasadena, California

This workshop, sponsored by AIM and the NSF, will be devoted to connections between automorphic forms, algebraic cycles, and intersection theory. Many phenomena in automorphic forms have interesting analogues in algebraic or arithmetic geometry. One key example is provided by Kudla and Kudla-Millson’s generating series of special cycles, which are geometric analogues of theta series. Another is the Gan-Gross-Prasad period integral, which also has an arithmetic analogue in terms of intersections of special cycles. The workshop’s goal is to further develop instances of these known analogies, and to explore new ones, involving novel tools like derived algebraic geometry.

Higher Dimensional Algebraic Geometry: James 60 is a conference highlighting recent progress in higher-dimensional algebraic geometry scheduled in honor of James McKernan's 60th birthday. The conference will focus on the many areas of algebraic geometry impacted by the groundbreaking work of James and his collaborators.

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

Isaac Newton Institute for Mathematical Sciences (INI)

This workshop focuses on the following themes and their interactions: 1. Geometric and equivariant aspects of algebraic statistics 2. Computation of invariants in algebraic (especially toric) geometry 3. Algebraic group actions on combinatorial spaces

Algèbre,    Théorie des graphes et combinatoire

CIRM

GAGTA conferences form an annual series of conferences devoted to the dialogue between different approaches on infinite groups: Geometry, combinatorics, decidability, logic and algorithms. These conferences gather every year a group of involved specialists and focus on giving good opportunities to young researchers. They both contribute to long term research thematics and explore new trends. Growth of groups, metric properties as initiated by M. Gromov, computation, algorithms and logic in infinite groups are the main lines of theses conferences. Cubic groups, contracting elements in almost hyperbolic groups, random walks on groups, dynamical systems, various aspects of normal forms in specific groups, automata groups and self-similar groups are some of the current hot topics. All in all, these conferences are a meeting point between algebra, geometry and computer science. In this venue of GAGTA, we will also emphasize the strong links with symbolic dynamics as well as the strengths of Sage software for computing in group theory.

Théorie des groupes,    Algèbre

Mathematical Sciences Research Institute (MSRI)

This introductory workshop will consist of a combination of minicourses addressing core topics in noncommutative algebraic geometry and research lectures describing recent developments in the field. The workshop will focus on subjects connected to algebraic geometry, category theory, and mirror symmetry such as categorical and noncommutative resolutions, deformation theory, derived categories in algebraic geometry, derived algebraic geometry, infinity categories, and enumerative geometry.

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

The mathematical study of fundamental objects such as curves, embedded graphs, surfaces and 3-manifolds has a rich and old history. Research into their algorithmic and combinatorial properties, and underlying computational questions, on the other hand, is still young. From the complexity-theoretic side important open problems are hardness of realizability, fine-grained complexity of distance and similarity measure computations, existence of polynomial-time algorithms for flip distances, or approximability of such distances. Combinatorics and algebra come into play when dealing with associated polyhedral structures such as associahedra and secondary polytopes, and mapping class groups of surfaces. Moreover, applied fields such as trajectory analysis and machine learning yield new questions and perspectives.

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

Analyse,    Algèbre

A five-day conference on the mathematical theory of supergravity and its applications to differentiable geometry, topology and analysis The goal of this event is to bring together mathematicians and theoretical physicists interested in the mathematical structure of supergravity and its interaction with mathematics.

Astronomie, astrophysique et cosmologie,    Physique mathématique

Research Institute for Mathematical Sciences (RIMS)

Institute for Advanced Study in Mathematics (IASM)

The aim of the conference is bringing together international experts who are currently working on comparison geometry and related problems. The fundamental idea of comparison geometry is that of trying to understand the shape of some geometric objects in terms of the shape of suitable model configurations, which are in general simpler objects, sometimes explicit, equipped with a remarkable number of symmetries. Typical outcomes of this profound idea are geometric inequalities. Among the most basic and earliest examples there certainly is the classical Isoperimetric Inequality, where a suitable scaling invariant area-to-volume ratio is compared with that of the ball in the Euclidean space (model situation).

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

The last twenty years of rapid development of Topological Data Analysis (TDA) have shown the need of understanding the shape of data to better understand the data. Since an explosion of new ideas in 2000’ including those of Persistent Homology and Mapper Algorithms, the community rushed to solve detailed theoretical questions related to the existing invariants. However, topology and geometry have still much to offer to the data science community. New tools and techniques are within reach, waiting to be brought over the fence to enrich our understanding and potential to analyze data.

Théorie des nombres, arithmétique,    Théorie des graphes et combinatoire

SFB 1085 Higher Invariants at the Faculty of Mathematics at the Universität Regensburg

IMPA

Manifolds endowed with special geometric structures are understood in terms of actions of Lie groups belonging to Berger’s celebrated list. Albeit rooted in differential geometry, these special manifolds exhibit deep relationships with complex and algebraic geometry, global analysis, theoretical physics and symplectic geometry. The meeting will therefore focus on a wide number of topics, including equations of Monge-Ampère type, special holonomy, quaternionic geometry, twistor theory, non-Kähler complex manifolds, harmonic maps, Einstein and soliton metrics, homogeneous spaces, integrable systems, gauge theory, geometric flows, and mathematical string- and M-theory.

Event's coordination;     Email.: eventos@impa.br

Mathematical Sciences Research Institute (MSRI)

his workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.

Théorie des groupes,    Théorie des graphes et combinatoire

Institute for Computational and Experimental Research in Mathematics (ICERM)

The development and analysis of numerical methods for PDEs whose formulation or interpretation is derived from an underlying geometry is a persistent challenge in numerical analysis. Examples include PDEs posed on complicated manifolds or graphs, PDEs that describe interactions across complex interfaces, and equations derived from intrinsically geometric concepts such as curvature-driven flows or highly nonlinear Monge-Ampere equations arising in optimal transport. In recent years, these PDEs have gained significance in diverse areas such as machine learning, optical design problems, meteorology, medical imaging, and beyond. Hence, the development of numerical methods for this class of PDEs is poised to lead to breakthroughs for a wide range of timely problems. However, designing methods to accurately and efficiently solve these PDEs requires careful consideration of the interactions between discretization methods, the PDE operators, and the underlying geometric properties. This workshop aims to foster new interactions and collaborations between researchers in PDEs related to geometry. The expertise of the participants will span the analysis, computational implementation, and application of these problems. This collaborative effort will facilitate the identification of key problems in the field and the development of novel discretizations that respect both the underlying geometry of the problem and the needs of current applications.

Email.: info@icerm.brown.edu

Mathématiques numériques,    Mathématiques appliquées (en général)

Mathematical Sciences Research Institute (MSRI)

This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.

Théorie des groupes,    Théorie des graphes et combinatoire

EuroCG is an annual workshop that combines a strong scientific tradition with a friendly and informal atmosphere. The workshop is a forum where established researchers and students can meet, discuss their work, present their results, and establish scientific collaborations. The goal is to present recent results and to identify and explore directions for future research. The 40th edition of the European Workshop on Computational Geometry (EuroCG2024) will be held at March 13-15, 2024 at the University of Ioannina in Greece.

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

Fields Institute

This conference will bring together communities working on two-dimensional Conformal Field Theory (CFT) from different perspectives, some of which have had only limited interactions so far. We are thinking here specifically of the communities working on the probabilistic approach to CFT, the algebraic & geometric approach to CFT, the operator algebraic approach to CFT, and the theoretical physics approach to 2d CFT.

Physique des hautes énergies, des particules et des champs,    Physique mathématique

This is the fourth instalment of the THGT conference series. As its predecessors, the conference takes place in Bielefeld in spring, and as before it welcomes researchers studying groups through their interactions with topology and homology, as well as people interested in entering the subject.

Théorie des groupes,    Algèbre

Isaac Newton Institute for Mathematical Sciences (INI)

The workshop focuses on recent equivariant techniques in enumerative geometry of holomorphic maps between complex manifolds. It will bring together researchers working on global singularity theory (multisingularity classes of holomorphic maps, Thom polynomials, multiple-point formulas), and on complex manifolds with positivity properties (hyperbolicity, ample cotangent bundle, jet differentials). The mini-courses aim to explain the central role of the Hilbert scheme of points on complex manifolds in these problems.

American Institute of Mathematics (AIM)

The study of degree d points on algebraic curves over ℚ is a rich and mature area of research, with the Abel-Jacobi map and the Mordell-Lang conjecture providing powerful tools for exploration. However, for higher dimensional varieties there is no such approach that works in general. Because of this, we lack even a conjectural framework for understanding which higher dimensional varieties over ℚ should have "many" degree d points. The workshop will focus on questions aimed at addressing this dearth, concentrating on the case of algebraic surfaces. For instance, what does it mean for a surface over ℚ to have "many" degree d points? What are some geometric constructions that give rise to abundant degree d points? Are these related to geometric measures of irrationality? If HilbdX has a Zariski dense set of ℚ-points for some small d, does that yield any arithmetic or geometric consequences for X? If X embeds into its Albanese, can we obtain results analogous to that of curves?

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

Cours et évènements pour étudiants en mathématiques,    Algèbre

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.

Mathematical Sciences Research Institute (MSRI)

This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.

Stefan Banach Mathematical Center

As in the previous edition of the conference, the planned mathematical meeting Inspirations in Real Analysis II is addressed especially to people mostly interested in real analysis approach to dynamical systems, topology, set theory, and also other topics which are close to the ones just mentioned. These are areas of mathematics with close interplays but, on the other hand, conferences usually separate them from each other. We believe that this conference will continue to develop research trends not only in real analysis, but also in set theory, topology and dynamical systems.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will focus on the development of higher-dimensional contact topology, with a focus on convex hypersurface theory and contact submanifolds. We will bring a diverse group of experts, spanning a variety of career stages, and represent the different research interests from the international community of researchers in contact topology.

Centre de recherches mathématiques (CRM)

CIRM – Centre International de Rencontres Mathématiques

Théorie des groupes,    Algèbre

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

CIRM – Centre International de Rencontres Mathématiques

The aim of the present conference is to gather mathematicians working in Algebra, Geometry, Topology, and Mathematical Physics. Created over the past 50 years, the theory of higher structures (operads, homotopy algebras, infinity-categories) has given rise recently to powerful tools which led to resolutions of open problems and prompted deep developments, for instance in algebraic topology (faithful algebraic invariants of the homotopy type of spaces), algebraic geometry (derived algebraic geometry), and deformation theory (formal moduli problems). More recent, fundamental achievements have been obtained by applying these effective and algorithmic higher algebraic methods in Lie theory (higher Lie theory), derived deformation theory (deformation theory in positive characteristic, universal deformation groups, Grothendieck–Teichmüller groups), homotopy theories (rational homotopy theories), and geometry (algebraic, complex and discrete).

Centre de recherches mathématiques (CRM)

Isaac Newton Institute for Mathematical Sciences (INI)

The goal of this conference is to bring together researchers in complex algebraic and differential geometry, working on notions of stability for algebraic varieties such as K-stability (and in particular the construction of moduli spaces of algebraic varieties), the existence of canonical metrics in Kähler geometry and the many nearby topics that interact with these areas. The relationship between K-stability and the existence of canonical Kähler metrics goes by the name of the Yau-Tian-Donaldson conjecture, and is motivated by a more classical correspondence between stability in the sense of geometric invariant theory and properties of moment maps as used in symplectic geometry—two of the overarching themes of the wider programme. This conference will emphasise the deep links between Kähler geometry, stability conditions and various related problems in equivariant algebraic and differential geometry.

ICERM

In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, which is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles when these various approaches are systematically combined.

Centre de recherches mathématiques (CRM)

The Geometrical Seminar started its activities more than 30 years ago under the name Yugoslav Geometrical Seminar. The aim of these meetings is to bring together mathematicians and physicists interested in geometry and its applications, to give lectures on new results, exchange ideas, problems and conjectures. The last conference, XXI Geometrical Seminar 2022, was held at Belgrade 2022, had around 130 participants from all over the world.

Differential Geometry, Topology, Lie Groups, Mathematical Physics, Discrete Geometry, Integrable Systems, Visualization, Teaching Geometry, Geometric Education

CIRM – Centre International de Rencontres Mathématiques

Mathématiques appliquées (en général),    Reconnaissance de formes et traitement d'image, vision par ordinateur

University of Georgia, Athens, GA, USA

The aim of this conference is to bring together a diverse array of leading mathematicians in algebra and representation theory to promote future collaborations and inspire a new generation of mathematicians to work on exciting problems in these fields.

Cohomology and Modular Representation Theory, Representations of Lie (Super)algebras, Geometric Representation Theory, Noncommutative Algebraic Geometry.

Centre de recherches mathématiques, Université de Montréal

This school intends to present various developments in Riemannian and Kähler geometry around the notion of curvature seen as a tool to describe and understand the geometry of the objects. Each week of the session will have a different flavor, but similar problems and methods will be emphasized, and we expect this will lead to fruitful interactions. Our main target audience is young mathematicians, particularly graduate students and early-career researchers. We expect the school to give them the opportunity to learn key ideas and techniques of the field, with an emphasis on solidifying foundations in view of potential future research. Consequently, junior women mathematicians and those from under-represented minority groups will be given priority for financial assistance. We aim for 100 participants including at least 60 young researchers (PhD students, postdoc fellows). Moreover, the school will also feature problem sessions provided by lecturers and selected talks by young researchers.

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

The EPIGA 2024 conference will feature a series of lectures covering a large spectrum of algebraic geometry. Half a day will be devoted to talks and debates on the topic of scientific publishing. It will also be the occasion to award the first Demailly prize for open science.

Georgia Institute of Technology Atlanta, GA

The 40th International Symposium on Computational Geometry (SoCG 2024) is planned to be held in Athens, Greece, June 11–14 2024, as part of the Computational Geometry (CG) Week. We invite high quality submissions that describe original research on computational problems in a geometric and/or topological setting.

Casa Matemática Oaxaca (CMO)

In recent years, researchers have discovered an unexpected mathematical connection between two different areas of physics. One community of researchers, working to make more precise predictions for particle physics experiments like the Large Hadron Collider, has discovered that their calculations involve increasingly complicated mathematical structures, described by the mathematical discipline of algebraic geometry. Some of these calculations, involving a mathematical object called an elliptic curve, have been the focus of much recent progress. However, more complicated calculations involve yet more complicated geometries. Some of these involve more than one elliptic curve, while others involve a type of geometry studied in a very different area of physics: Calabi-Yau manifolds, previously studied as a potential shape for the extra dimensions of string theory. This workshop will bring together experts in this intersection of topics: particle physicists who aim to tackle calculations with multiple elliptic curves and Calabi-Yau manifolds, string theorists, and mathematicians who study topics that tie the two areas together such as algebraic geometry and combinatorics. The workshop will foster dialogue between these groups, a fresh exchange of ideas that should yield new insights and new progress.

Physique des hautes énergies, des particules et des champs,    Théorie des graphes et combinatoire

Centre de recherches mathématiques (CRM)

Isaac Newton Institute for Mathematical Sciences (INI)

The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.

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

Cours et évènements pour étudiants en mathématiques,    Mathématiques numériques

Centre de recherches mathématiques (CRM)

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Mathématiques appliquées (en général),    Théorie des nombres, arithmétique

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

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Physique des hautes énergies, des particules et des champs,    Physique mathématique

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

Isaac Newton Institute for Mathematical Sciences

The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.

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

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

Cours et évènements pour étudiants en mathématiques,    Théorie des graphes et combinatoire

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

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

Algèbre,    Statistique, Théorie des jeux

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

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop will include introductory lectures on each of the four main topics of the program: geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. The workshop will also have semi-expository lectures on recent advances and breakthroughs involving interactions between the four main topics. This will set the stage and provide important context for the semester-long program itself.

mean curvature flow, Ricci flow, fully nonlinear flows, general relativity, mass, Ricci curvature, scalar curvature, sectional curvature, symmetry, Riemannian geometry, group actions, minimal surfaces, stability and index

Algèbre,    Cours et évènements pour étudiants en mathématiques

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

Cours et évènements pour étudiants en mathématiques,    Théorie des graphes et combinatoire

Institute for Advanced Study in Mathematics (IASM)

The theories of rational/trigonometric/elliptic functions were developed as functions over plane/cylinder/torus, respectively, before the 20th century. Among them, the theory of elliptic functions is most interesting, and it can be understood as the parent theory of the rest. During the 20th century, the same rational/trigonometric/elliptic trichotomy has been also found in integrable systems, algebras and cohomology groups. Like the theory of functions, recent development reveals that the relationship among integrable system, algebra, geometry, and physics becomes most profound at elliptic level. In particular, Lie algebras (rational) are promoted to affine Lie algebras (trigonometric) and toroidal Lie algebras (elliptic). The workshop aims at investigating quantum versions of toroidal Lie algebras, called quantum toroidal algebras.

Physique mathématique,    Algèbre

CIRM – Centre International de Rencontres Mathématiques

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop aims to prepare the participants for the main program: Special Geometric Structures and Analysis. There will be introductory lectures to recent results in geometry and analysis; more precisely in Kähler geometry, special holonomy, microlocal analysis and geometric measure theory

Kähler manifolds, Kahler metrics, Einstein metrics, canonical metrics, special holonomy, Calabi-Yau, geometric elliptic and parabolic PDEs, Pluripotential Theory, variational approach, Monge-Ampère equation, area minimizing currents, semicalibrated currents, minimal surfaces

Analyse,    Cours et évènements pour étudiants en mathématiques

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

Cours et évènements pour étudiants en mathématiques,    Statistique, Théorie des jeux

Institute for Advanced Study in Mathematics (IASM)

This workshop intends meeting point for specialists and young researchers active at the interface of non-commutative geometry, free probability, integrability and enumerative and tropical geometry, random matrices and topological recursion.

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

Hausdorff Research Institute for Mathematics (HIM)

Analytic questions of a discrete nature are ubiquitous in many areas of mathematics and theoretical computer science. The purpose of this conference is to bring together a diverse group of experts working, broadly, on Discrete Analysis with particular emphasis on questions having a geometric component. The topics will include Boolean analysis, vector-valued harmonic analysis, metric embeddings, geometry of graphs and groups, and aspects of discrete probability and theoretical computer science.

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

Cours et évènements pour étudiants en mathématiques,    Biologie des systèmes

Institute for Advanced Study in Mathematics (IASM)

This workshop will tackle some fundamental open questions about Artin-Schelter regular algebras, in particular, elliptic algebras, and their associated Poisson structures. In particular, it will focus on the correspondence between the representations of elliptic algebras and the symplectic leaves of their semi-classical limits, as well as on the relationship between the deformation theory of Artin-Schelter regular algebras and that of the derived category or the A-infinity-category of related projective schemes. This workshop brings together leading experts in algebra and geometry from around the world to identify and attack these outstanding problems and to collaborate for future breakthroughs.

CIRM – Centre International de Rencontres Mathématiques

Mathématiques appliquées (en général),    Evénement multidisciplinaires ou générales en informatique

Isaac Newton Institute for Mathematical Sciences

This workshop will focus on various aspects of the geometry of interacting random paths. The aim is to bring together researchers specialising in random processes such as branching random walks, activated random walks, random interlacements, and other models of interacting random walks, as well as their continuous time counterparts. The workshop will explore questions and results concerning the geometry of the ranges of these processes, and further properties of their occupation time fields, for instance, their associated “thick points”. It will include two-mini courses in addition to the programme of research talks.

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

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

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

Isaac Newton Institute for Mathematical Sciences

Equivariant techniques have played a critical role in the proofs of several major results and developments in algebraic topology over the past decade. Examples include the solution of the famous Kervaire invariant one problem, computations of previously inaccessible homotopy groups of spheres based on the motivic Adams spectral sequence, and the new equivariant approach to THH, TC, and algebraic K- theory. The programme will unite experts and young researchers who apply homotopic methods in algebra (operads), algebraic topology, and algebraic geometry (motivic homotopy theory) around the common theme of equivariant methods. Though these methods have already led to significant breakthroughs, their potential is clearly far from exhausted. We foresee that this programme will incite further developments and greater synergies between equivariant homotopy theory and the themes of the programme centred around three workshops: "Operads and calculus", "Chromatic and motivic homotopy theory" and "THH, TC and algebraic K- theory".

Algèbre,    Cours et évènements pour étudiants en mathématiques

Isaac Newton Institute for Mathematical Sciences

Algèbre,    Cours et évènements pour étudiants en mathématiques

Isaac Newton Institute for Mathematical Sciences

Algèbre,    Cours et évènements pour étudiants en mathématiques

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Algèbre,    Cours et évènements pour étudiants en mathématiques

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

Homotopy theory is in the midst of a renaissance as its usefulness in other areas of mathematics is becoming increasingly recognised. From polyhedral products in geometric group theory, to combinatorial methods in group theory, to topological properties of manifolds and spaces of embeddings, to Morava K-theory in symplectic geometry, to simplicial methods in topological data analysis, to a host of applications in mathematical physics - and these name only a few areas of interaction - homotopy theory over the past ten to fifteen years has significantly extended its reach. This program will assemble a wide range of leading experts to discuss the state of the art in current research, both in terms of core fundamental problems and crossover to other areas, and explore exciting new directions.

The Fields Institute for Research in Mathematical Sciences

This workshop will accelerate development of new directions in chromatic and unstable homotopy theory and in the homotopy theory of polyhedral products. Key will be the exploration of areas of interaction: unstable homotopy theory and polyhedral products have substantial existing intersection while recent developments in chromatic homotopy theory suggest exciting new intersections with unstable homotopy theory and polyhedral products.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Théorie des groupes,    Cours et évènements pour étudiants en mathématiques

The René 25 conference will bring together renowned international researchers in mathematics to celebrate the research interests of René Schoof, which include the fields of algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.