Conferences and Meetings on Geometry and Topology

This event intends to bring together international researchers from various backgrounds and interests, all of which related to geometric aspects of complex webs. The targeted audience includes, but is not restricted to, mathematicians (theoretical and applied), life scientists, computer scientists, and engineers. We intend to deepen connections between universities and universities of applied sciences (HES/FH), as well as between swiss and international researchers. A special effort will be made to allocate time for social interactions and networking.

The workshop is supported by the Department of Mathematics "Giuseppe Peano" of the University of Torino.

This three-day workshop is intended to bring together young and more experienced researchers working in the fields of symplectic geometry, contact geometry, and Floer theory.

Email: cast2020.antwerpen@gmail.com

University of Utah

The study of Riemann surfaces and their moduli spaces brings together disparate fields including geometry, topology, dynamics and algebra. This weekend conference will include two mini-courses by Dawei Chen and Chris Leininger focusing on the algebraic and geometric aspects of this topics and two research talks by Diana Davis and Chaya Norton. The intended audience for this conference is early career mathematicians, especially advanced graduate students and postdocs.

University of California, Irvine

Since 1992 UCI and UCSD have run the Southern California Geometric Analysis Seminar. The upcoming 2020 conference will be at UC Irvine. All interested participants are strongly encouraged to register via the online registration form and indicate request for financial support if needed. Financial support if available will be from the US National Science Foundation and priority will be given to graduate students, recent Ph.D.'s, and under-represented minorities.

Kyoto University

CoCoA is a computer algebra system, which specializes in handling ideals and modules over rings of multivariate polynomials. The techniques used are mainly based on the theory of Gröbner bases. Continuing the series of COCOA schools and workshops which have been organized since 1999 in Torino, Italy, the International Workshop on Computer Algebra: COCOA 2020 will take place in March 9-15, 2020 at Hue University of Education, Hue city, Vietnam. The aim of this workshop is to offer researchers an exposition to contemporary research topics in Computer Algebra and Computational Commutative Algebra and to give an opportunity for young researchers to learn recent developments in these research areas and to discuss their topics with other researchers and well-known professors.

Tehran Polytechnic

The 3rd Iranian Conference on Computational Geometry (ICCG) will be held on February 16, 2020 at the Department of Mathematics and Computer Science, at Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran. Like the last two ICCGs, after the ICCG, there will be the Winter School on Computational Geometry, at the same place. ICCG is an annual, international conference whose goal is to bring together students and researchers from academia and industry, in order to promote research in the fields of combinatorial and computational geometry. Important dates: Submission deadline: November 8, 2019 Acceptance notification: December 22, 2019 Conference: February 16, 2020

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

University of Catania, Department of Mathematics and Computer Science

Our conference aims to bring together researchers and students working on set theory and its applications to a wide spectrum of areas of mathematics, and in particular to Topology, to discuss the most recent advances and main open problems in the field and foster collaboration. There will be eight invited lectures and each of the participants can contribute a 20-30 minute talk. Invited speakers: Leandro Aurichi (University of São Paulo-São Carlos, Brazil), Joan Bagaria (University of Barcelona, Spain), István Juhász (Hungarian Academy of Sciences, Hungary), Menachem Kojman (Ben Gurion University, Israel), Menachem Magidor (Hebrew University of Jerusalem, Israel), Gianluca Paolini (University of Turin, Italy), Stevo Todorcevic (University of Toronto, Canada and CNRS, Paris), Lyubomyr Zdomskyy (Kurt Gödel Research Center, Vienna, Austria).

Email: CataniaSetTheory@gmail.com

set theoretic topology, forcing, large cardinals, descriptive set theory, PCF theory, cardinal invariants.

The winter school will present two incarnations of the implicit function theorem to master and PhD students: the implicit function theorem of Nash and Moser, and the implicit function theorem in scale calculus and polyfold-theory as developed by Hofer, Wysocki and Zehnder. There will be two mini-courses on the theoretical framework of each incarnation which will be complemented by talks on classical and current applications to analysis and geometry.

Courses and Events for Physics Students,    Algebra

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

Algebra,    Numerical Analysis and Computational Mathematics

University of Arkansas, Fayetteville

The Redbud Topology Conference is a regional conference in topology and related areas, with participants from the University of Arkansas, the University of Oklahoma, Oklahoma State University, and elsewhere. The conference this year will focus on algorithmic and effectiveness in 3-manifold topology. The conference will run all day Saturday and all morning on Sunday, ending by 2 PM. There will also be a session on Friday afternoon as a warm-up for graduate students. There will be dinner outing on Saturday evening.

A one day conference on the interactions of algebra, geometry and combinatorics. Some NSF supported funding is available for graduate students and postdocs to travel to the event.

Graph Theory and Combinatorics,    Algebra

Centre International de Rencontres Mathématiques (CIRM)

Algebra,    Courses and Events for Math Students and Early Career Researchers

This Spring School will gather together PhD students and junior researchers who use category-theoretic ideas or techniques in their research. It will provide a forum to learn about important themes in contemporary category theory, both from experts and from each other. Three invited speakers will each present a three-hour mini-course, accessible to non-specialists, introducing an area of active research. There will also be short talks contributed by PhD students and postdocs, and a poster session. The focus of the Spring School is on aspects of pure category theory as they interact with research in other areas of algebra, geometry, topology and logic. Any "categorical thinker" - that is, any mathematician whose work makes use of categorical ideas - is welcome to participate.

Email: jct.uk.2020@gmail.com

Category Theory, Grothendieck Toposes, Topos Theory, Higher Category Theory, Model Categories, Derived and Triangulated Categories

Algebra,    Courses and Events for Math Students and Early Career Researchers

LOEWE research unit Uniformized Structures in Arithmetic and Geometry

This workshop, sponsored by AIM, the Simons Foundation, and the NSF, will consider the role of topology in characterizing materials and in the prediction of their physical properties, particularly for two-dimensional material such as graphene. The focus will be on important mathematical questions at the interface of the analysis and topology in the context of the governing fundamental partial differential equations and other models. Two such questions are the bulk edge correspondence and the existence and robustness of edge states in aperiodic settings.

Condensed Matter Physics and Materials,    Clusters, Nanomaterials, Graphene and Fullerenes

Johns Hopkins University

Spring Topology and Dynamical Systems Conferences are a long-running series of annual conferences focusing on several actively researched areas in topology and dynamical systems. Sessions will be held in Continuum Theory, Dynamical Systems, Geometric Topology, Geometric Group Theory, Set-Theoretic Topology, and Topology in Data Science.

https://sites.google.com/view/imperial-syz

The workshop provides an international forum for recent advances in mirror symmetry, with an emphasis on the celebrated SYZ conjecture. Various approaches to this conjecture, based on algebraic, symplectic and non-archimedean geometry, will be presented. Along with more focused research-oriented talks, there will be special talks aimed at establishing links among different points of view .

The Fields Institute

The workshop will introduce and explore new themes of research in toric topology. It will provide an opportunity for interaction between people who work on different aspects of torus actions, such as topological, combinatorial, symplectic and algebro-geometric.

University of Hagen

Arithmetic groups provide a fruitful link between various areas, such as geometry, topology, representation theory and number theory. Methods from geometry and topology hinge on the fact that arithmetic groups are lattices in Lie groups, whereas the theory of automorphic forms establishes a connection to representation theory and number theory. This interplay is especially intriguing in the setting of hyperbolic 3-manifolds. Indeed many conjectures in 3-manifold theory tend to be much more accessible for hyperbolic 3-manifolds whose fundamental groups are arithmetic, and conversely such manifolds provide the simplest set-up in which some of the most exciting new phenomena in the Langlands program can be studied. This conference will bring together researchers with various backgrounds around links between number theory and 3-manifolds. Central topics of the conference are the cohomology of arithmetic groups, the relation between torsion and L²-torsion, profinite invariants of 3-manifolds, and number theoretic ramifications.

Group Theory,    Number Theory, Arithmetic

Ulm University

The aim of the conference is to bring together a range of researchers working on geometric variational problems and related topics. There will be also a poster session.

Calculus, Differential Equations and Integration,    Analysis

This workshop will cover all areas of recent developments in algebraic K-theory, motivic cohomology and motivic homotopy theory.

Knots are fundamental objects of study in low dimensional topology and geometry, and the subject has seen tremendous progress in the recent years. The aim of this program is to familiarise and enthuse younger researchers in India about the latest advances in the subject with a particular emphasis on computational aspects of (co)homological, combinatorial and polynomial invariants of knots. The program will also discuss some important aspects of knot theory from physics point of view. The program will have two components, an advanced workshop (23 - 28 March 2020) followed by a discussion meeting (30 March - 03 April 2020). The advanced workshop will consist of mini courses on current aspects of knot theory by renowned experts. These topics will cover some of the latest advances in the subject, and will also prepare the participants for the discussion meeting which will consist of talks by well-known researchers in the field.

Knots, quandles, Khovanov Homology, Jones Polynomial

Algebraic Geometry

Cambridge University

Purdue University - AMS, American Mathematical Society

Purdue University - AMS, American Mathematical Society

University of Nantes

Mathematical Physics,    Quantum Mechanics and Quantum Information Theory

Institut Henri Poincaré, Paris

Les périodes apparaissent dans différentes branches des mathématiques, comme l’indique le titre de notre colloque : leur étude mêle arithmétique, analyse diophantienne, équations différentielles et géométrie algébrique. De nombreux résultats intéressants sur les périodes ont été prouvés ces dernières années et beaucoup de questions difficiles restent ouvertes. Le but de cette rencontre est de réunir les spécialistes de ces différents aspects des périodes et de leurs ramifications, en portant une attention particulière à d’éventuelles nouvelles applications des techniques jusqu’ici confinées à l’étude des périodes et de leurs réalisations.

Number Theory, Arithmetic,    Calculus, Differential Equations and Integration

Centre International de Rencontres Mathématiques (CIRM)

Mathematical Physics,    Courses and Events for Math Students and Early Career Researchers

University of Pennsylvania, Philadelphia

Centre International de Rencontres Mathématiques (CIRM)

California State University, Chico

Centre International de Rencontres Mathématiques (CIRM)

Simons Center for Geometry and Physics, Long Island, NY

This workshop will explore topics of current interest in the theory of Floer homology for 3-manifolds. Floer homology is a powerful tool for studying the topology of 3- and 4-dimensional manifolds, and the relations between them. The first such invariants were introduced by Floer, and arose in the context of Donaldson theory on smooth 4-manifolds.

MPI für Mathematik in den Naturwissenschaften Leipzig

This year's speaker for the Chow lectures is June Huh (Instiute for Advanced Study, Princeton). The general topic of this series is "Combinatorics and geometry of Lorentzian polynomials".

Centre International de Rencontres Mathématiques (CIRM)

Nordic Institute for Theoretical Physics (Nordita)

This is a 5-day workshop to be held at UQAM in Montreal, focusing on special geometric structures in Riemannian geometry.

Centre International de Rencontres Mathématiques (CIRM)

CIRM – Centre International de Rencontres Mathématiques

The workshop will review fundamental developments in several branches of anabelian geometry, as well as report on recent developments.

This workshop is one of four workshops of special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory".

Rutgers, The State University of New Jersey

geometric flows, minimal surfaces, gauge theory, symplectic geometry

University of Salerno

The aim of the Intensive Period is to bring together researchers interested in Poisson geometry in a broad sense and mathematical physics from Italy and from abroad. It also aims at presenting the foundations of the theory as well as its more recent results/ramifications to potentially interested young researchers. The Intensive Period is organized in - a Series of Seminars - a Mini-Workshop on Coisotropic Reduction - a Mini-Workshop on VB-Groupoids - a Summer School on Poisson Geometry - an International Conference on Poisson Geometry

Mathematical Physics,    Courses and Events for Math Students and Early Career Researchers

The Fields Institute

Two mini-courses will be given by experts in Geometric Group Theory. These are designed to give graduate students and early career researchers a research level perspective on how and why Polyhedral Products appear in Geometric Group Theory, thereby enabling the participants to engage fully in the workshop that immediately follows.

Courses and Events for Math Students and Early Career Researchers,    Group Theory

The Fields Institute

Two special cases of the polyhedral product construction have been immensely influential in geometric group theory, giving rise to at least three major families of examples of groups parametrized by flag simplicial complexes: right-angled Coxeter groups associated with the polyhedral product for pairs (,*); right-angled Artin groups associated with the polyhedral product for pairs (,*); and Bestvina-Brady groups associated with a covering space of the polyhedral product for pairs (,*). However, the interaction between toric topology and geometric group theory is largely unexplored. The purpose of this workshop is to significantly increase synergies between the two groups and establish a framework for approaching common problems and methods in a more global context.

IMUVA-Mathematics Research Institute of the University of Valladolid

This school is organized by the IMUVA-Mathematics Research Institute of the University of Valladolid. The main objective is to offer to future and young researchers of distinct branches of mathematics a series of courses at doctorate level on a new field connected to many areas. There will be an introductory course with minimal prerequisites and two courses on recent applications in different areas. The three courses are aimed to be as self-contained as possible in order to make the school attractive to a wide and diverse audience. The target audience is master's students, PhD students and postdocs from all areas of mathematics. Senior researchers interested in learning on this new topic are also welcome. The school is based on 3 courses organized in an exercise-based format (1 hour of lecture + 40 minutes of exercises for each session). We will also give the opportunity to young researchers to present their own work either through a series of short communications or a poster session.

1. Igusa-type zeta functions (Archimedean, p-⁠adic, motivic, topological), and related Poincaré series, 2. Zeta functions of groups, algebras, modules and representations, 3. Real singularities and zeta functions, 4. Zeta function methods in mathematical physics, 5. Zeta functions in combinatorics, 6. Bernstein polynomials

Centro di Ricerca Matematica Ennio De Giorgi

The conference is the third meeting within prof. Le Donne's ERC project GeoMeG (Geometry of Metric Groups). The idea for the 2020 meeting is to focus on the following subjects: 1) large-scale geometry of nilpotent groups (and as the sub-Riemannian geometry appear as asymptotic cone) 2) Heintze groups (= homogeneous negatively curved manifolds) and their boundaries (which are nilpotent groups, possibly equipped with non-smooth distances) 3) geometry of solvable groups or, more generally, the large scale geometry of Lie groups. Tentative list of speakers: Manuel Amann, Marc Burger, Matias Carrasco Piaggio, Yves Cornulier, Moon Duchin, Tullia Dymarz, David Fisher, Misha Gromov, David Kyed, Grigoriy Margulis, Nicolas Monod, Pierre Pansu, Frederic Paulin, Roman Sauer, Yehuda Shalom, Xiangdong Xie, Robert Young.

Algebra,    Group Theory

American Matheamtical Society

The new and rapidly expanding area of Analytic Combinatorics in Several Variables (ACSV) concerns enumeration problems in such areas as lattice walks, statistical mechanical models, quantum walks and other exactly solvable models where asymptotic estimation of coefficients of a bivariate or multivariate generating function is required. The multivariate setting incorporates a wider swath of mathematics. including singularity theory, algebraic topology, and computational algebra. Participants in this MRC will be introduced to problems from these areas of mathematics whose solutions have direct applications to ACSV. These problems are not hard to state in the language of disciplines such as Morse theory, harmonic analysis, or commutative algebra, but they ask questions not typical in those fields. A long-term goal is to advance and automate this work, so that its benefits can be used by other researchers in mathematics and the natural sciences through implementations in computer algebra packages. Problems for this MRC will be arranged around five central topics: effective computer algebra methods, algorithms using computational topology, multivariate asymptotic phase transitions, singular transforms for degenerate saddle-point integrals, and applications of harmonic analysis and singularity theory. Researchers with knowledge in any one of these areas are encouraged to apply to this MRC.

Centre International de Rencontres Mathématiques (CIRM)

Algebra,    Group Theory

Institute for Mathematical Sciences/National University of Singapore

Interactions between people working in Index Theory and Complex Geometry are increasing. One of the reasons is that although researchers use different tools and techniques, their studies have profound connections and are understandable to people from both sides. Sharing experiences and techniques is an opportunity for them to accelerate collaboration works. Index Theory and Complex Geometry recently both have spectacular developments. In this program, we plan to dig out more materials on complex geometry side of global analysis led by recent development on geometric hypoelliptic Laplacians.

Algebra,    Courses and Events for Math Students and Early Career Researchers

Banff International Research Station

The Banff International Research Station will host the "Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4" workshop in Banff from June 7 to June 12, 2020. This workshop will highlight new results in low-dimensional topology coming from a wide range of geometric methods. Low-dimensional topology studies the global properties of geometric spaces in dimensions 3 and 4, such as 3-dimensional space and 4-dimensional space-time.

Banff International Research Station for Mathematical Innovation and Discovery

One of the big ideas in modern mathematics is that integers (like 1, 2, 3, 4, 5, ...) in many formal ways behave similarly to polynomial equations (like y = x^2, which defines the parabola). Frequently, and perhaps surprisingly, many questions in mathematics are easier to study for polynomials than for integers. Hence intuition and results for polynomials can tell us about the integers. Commutative algebra lives at the intersection of both perspectives, and one fundamental object of study is polynomials with integer coefficients, this is called the mixed characteristic case. Recently, Yves Andre proved a long standing open conjecture in commutative algebra in this mixed characteristic setting, relying on constructions of Scholze (and then Bhatt gave a simplified proof of the same conjecture). This workshop aims to foster and discuss these and other recent tools, to study some remaining open problems in mixed characteristic. The workshop will bring together a diverse group of researchers from different fields, such as commutative algebra, algebraic geometry, and number theory.

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

Centre International de Rencontres Mathématiques (CIRM)

This international conference will gather experts in Complex Analysis and Geometry for a week in Toulouse. It will be the closing conference of the ANR Project GRACK and it will also serve as the occasion to celebrate Professor Ahmed Zeriahi's retirement.

One of the fascinating bridges between classical mechanics and quantum physics is expressed in the fact that the length spectrum and the Laplace spectrum of a closed Riemannian manifold determine each other (at least generically). Similarly, the set of lengths of the closed orbits of a billiard table and the Laplace spectrum of that table determine each other, at least for certain billiard tables. The main goal of this school is to introduce graduate students and young researchers to basic facts on these two spectra, and to the above correspondence. The length spectrum generalizes to the action spectrum of an autonomous Hamiltonian function. Floer homology filtered by the action spectrum can be used to construct so-called action selectors, that are a principal tool in modern symplectic geometry and dynamics, yielding simple proofs of Gromov's nonsqueezing theorem, the Weinstein conjecture in R^{2n}, the existence of closed orbits in a magnetic fields, etc. The second goal is to understand this relevance of the action spectrum in symplectic geometry. A third, more hypothetical, goal is to see which parts of the two sides can be related.

Prerequisites: We expect that students have had courses in real analysis of several variables, know what an ordinary differential equation is, and have followed a course on curves and surfaces. More knowledge is useful, but not necessary to follow the lectures.

Algebra,    Courses and Events for Physics Students

Laboratoire Dieudonné, Université Côte d'Azur, Nice

On the occasion of the "Chair Montel 2020" awarded by Xiaojun Huang (Rutgers U.), we're organizing an international conference on Dynamics, Several Complex Variables and CR geometry. We expect to gather outstanding contributions in complex geometry and analytic PDEs as well.

INdAM meeting

The workshop will be devoted to the study of surfaces with special metrics with singularities of conical type. In particular it will focus on the case of spherical metrics, namely Riemannian metrics of curvature 1. Such metrics have been studied from many points of view, using tools coming from synthetic geometry, complex analysis and partial differential equations. The aim of the meeting is to bring together people with different backgrounds to discuss recent developments, techniques and open questions in the areas of spherical surfaces with conical points, projective structures with singularities and their monodromy, solutions of the singular Liouville equation, polyhedral spherical surfaces, polygonal linkages.

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

Centre International de Rencontres Mathématiques (CIRM)

CIRM – Centre International de Rencontres Mathématiques

The goal of this meeting is to gather researchers in digital geometry and discrete variational calculus, theoretical mathematical experts from geometric measure theory and variational problems and applications oriented computer scientists from image analysis or geometry processing. It would bridge the gap between various approaches to discrete calculus, and go beyond the current state of the art. We want to bring together these communities in order to promote calculus on digital spaces and structures, fostering new developments.

Calculus, Differential Equations and Integration,    Numerical Analysis and Computational Mathematics

The purpose of this meeting is to bring together a diverse range of experts and early-career researchers working in in a variety of aspects of the study of holomorphic curves and their applications to low-dimensional topology. Points of focus will include contact and symplectic structures and dynamics, Lagrangian cobordisms and Legendrian knots, and Floer–theoretic frameworks of study.

Since the time of Bernhard Riemann, the influence of analytical and algebraic methods based on Riemann surfaces, algebraic curves and abelian varieties, has been crucial in the development of other areas in physics and mathematics, as well as applications to other areas. These topics have been a very effective tool in solving problems in commutative algebra, mathematical-physics, algebraic geometry, differential geometry, complex and hyperbolic geometry, dynamical systems, singularity theory, topology and other interdisciplinary branches of mathematics that are constantly evolving. The Iberoamerican Geometry Congresses (IGC) have the particularity of gathering researchers and students from various mathematical communities of America and other regions of the world, with the aim of fostering an exchange of ideas between mathematicians in different fields, linked by the geometry of Riemann surfaces, abelian varieties and related fields.

University of Bialystok

The School is intended for young researchers and graduate students. During the School we plan to organize several 3h courses by leading experts in mathematical physics. The most recent list of speakers can be found at wgmp.uwb.edu.pl/.

Courses and Events for Math Students and Early Career Researchers,    Mathematical Physics

The Computational Geometry Week (CG Week) is the premier international forum for advances in computational geometry and its many applications. The 2020 edition with the 36th International Symposium on Computational Geometry (SoCG 2020) will take place in Zürich, Switzerland, June 22-26, 2020.

The main purpose of the conference is to stimulate the exchange of new ideas in algebra, topology and geometry, and to celebrate 50 years of the Jan Kochanowski University. On the occasion of the jubilee, we plan to remind the brightest moments of mathematical research and education in Kielce. The conference will be divided int two parts - the anniversary and the scientific. The first one gives the opportunity to meet many of the former and the current elmployees of our Institute. The second, provides the space for scientific discussions at four thematic sessions, that is Topology, Analysis, Geometry and Didactics. We warmly invite all mathematicans to share our joy and scientific enthusiasm in theese special days.

Analysis,    Didactics of Scientific Disciplines

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

University of Bialystok

The Workshop on Geometric Methods in Physics is the annual international conference in the field of mathematical physics and mathematics organized by the Department of Mathematical Physics of the University of Białystok, Poland. The topics covered at the Białowieża meetings span wide areas of classical and quantum physics, geometry, topology, analysis and algebra, inspired by geometric approaches to problems arising in physics. The conference offers an excellent opportunity for the exchange of ideas between physicists and mathematicians, in an informal and inviting setting. We especially encourage the participation of early career scientists. The programme consists of invited plenary lectures (55 minutes), as well as other invited and contributed talks (40 or 25 minutes). Participants are also offered the possibility of presenting their contributions in poster form.

International Centre for Mathematical Sciences, Edinburgh; UK

Andrew Ranicki and his theory of algebraic surgery played a central role in linking manifold theory, algebraic K-theory, and its close cousin L-theory. These areas have seen great developments and advances in the last decade from distinct research communities. This workshop will bring together mathematicians working on the topology of high-dimensional manifolds and their automorphisms with those working on the algebraic K-theory (and its cousins hermitian K-theory and L-theory) of rings and ring spectra, in order to share recent progress in these areas and kindle a fresh interaction between them.

Graph Theory and Combinatorics,    Algebra

Department of Mathematics, Faculty of Information Technology, University of Pannonia in cooperation with the Regional Centre of the Hungarian Academy of Sciences, Veszprém

The conference Geometry Festival will celebrate the 65th birthday of Karoly Bezdek (University of Calgary, Canada and University of Pannonia, Hungary). The theme of the conference will be discrete geometry, related fields, aspects, recent progress. The program of the conference will consist of invited lectures and contributed talks.

Applied Mathematics (in general),    Numerical Analysis and Computational Mathematics

The purpose of the present workshop is to expose fundamental, introductory aspects of combinatorial anabelian geometry, as well as more recent developments related to the Grothendieck-Teichmüller group and the absolute Galois groups of number fields and mixed-characteristic local fields.

Graph Theory and Combinatorics,    Number Theory, Arithmetic

Mathematical Sciences Research Institute (MSRI)

The theory of algebraic curves, arguably the oldest branch of algebraic geometry, has seen major developments in recent years, for example in the study of syzygies, and around questions about moduli spaces and Hilbert schemes of curves. The theory is rich in research activity and unsolved problems. There is an encyclopedic work by Arbarello, Cornalba, Griffiths and Harris, but there is no modern text that could be used as a textbook and that goes beyond the basics of the theory. We have embarked on a project to write a book at roughly the level of the wonderful book on complex algebraic surfaces by Arnaud Beauville.

Courses and Events for Physics Students,    Algebra

University of Portsmouth, School of Mathematics and Physics

Phone: [02392846358];     Email: ittay.weiss@port.ac.uk

KTH Royal Institute of Technology and Stockholm University

The Young Topologists Meeting (YTM) is an annual event that has previously been organised by the EPFL (Switzerland), the University of Copenhagen (Denmark); and jointly by Stockholm University and the Royal Institute of Technology (Sweden). This year it will take place on July 6-10 in Stockholm. The intention of the conference is to create a setting in which young researchers in topology can meet each other and share their work.

Email: youngtopologistsmeeting@gmail.com

CIRM – Centre International de Rencontres Mathématiques

Mathematical Sciences Research Institute (MSRI)

The purpose of the summer school is to introduce graduate students to key mainstream directions in the recent development of geometry, which sprang from Riemannian Geometry in an attempt to use its methods in various contexts of non-smooth geometry. This concerns recent developments in metric generalizations of the theory of nonpositively curved spaces and discretizations of methods in geometry, geometric measure theory and global analysis. The metric geometry perspective gave rise to new results and problems in Riemannian Geometry as well.

Courses and Events for Physics Students,    Analysis

Department of Mathematics of the University of Salerno

Poisson 2020 is the 12nd in a series of international conferences on Poisson geometry. It will be held in the Department of Mathematics of the University of Salerno, Fisciano (SA), and the Accademia Pontaniana, Napoli, Italy. The event comprises: - a Summer School (July 6 - 10), aimed at students in their final years, PhD students and young researchers. - an International Conference (July 13 - 17), to be attended by students and researches from around the world, including some of the leading mathematicians in the field of Poisson Geometry. Links to the previous conferences in the series can be found at the Poisson Geometry Home Page: www.lpthe.jussieu.fr/~dito/poissongeometry.

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

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

This conference contains contributions that give an overview of the current research in geometric mechanics. This scientific subject is simultaneously close to mathematics, physics, and engineering and its general philosophy consists in taking advantage of fruitful interactions between geometry on the one hand and dynamics and mechanics on the other. This conference will be the occasion to celebrate the 70th birthday of Tudor Ratiu who over the years has made many fundamental contributions in the development of this field.

Systems theory, Control and Automation,    Mathematical Physics

Conference on algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Topics include: integer-valued polynomials, polynomial functions, multiplicative ideal theory, topological methods in ring theory, Zariski-Riemann spaces of valuation domains, factorization theory in rings and semigroups, module theory and linear algebra over rings, Dedekind, Pruefer and Krull domains and generalizations

Algebra,    Number Theory, Arithmetic

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

Northwestern University, Evanston, IL

The goal of this summer school is to introduce participants to tools and ideas from algebraic topology and homotopy theory that are used in the study of fixed point theory. The workshop will be centered around mini-courses, both on classical fixed-point theory and on modern techniques such as duality theory, spectra, and trace methods in algebraic K-theory.

The intended audience for this summer school should be familiar with the material in Hatcher (except the appendices). This reflects our goal that the school be accessible to second and third year students with an interest in algebraic topology from any PhD granting institution. The school will be structured around a few mini-courses, which will run in an active-learning style.

Algebra,    Courses and Events for Physics Students

Universidad de Puerto Rico

Guoliang Yu, Powell Chair in Mathematics and University Distinguished professor at Texas A&M University, will lead this series of lectures on K-theory of operator algebras and its applications to geometry and topology.

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

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

Courses and Events for Math Students and Early Career Researchers,    Number Theory, Arithmetic

The Galileo Galilei Institute for Theoretical Physics

Many remarkable properties of gauge theories rely on the topology of field configurations and/or ambient spacetime and are connected with quantum anomalies and nonperturbative excitations. These properties, often exact, have many implications in the physics of fundamental interactions, condensed matter systems and statistical mechanics models. They also account for a large part of the investigations in string theory, and combined with supersymmetry have led to exact solutions of low-energy theories and the discovery of duality relations between supersymmetric gauge theories. Meanwhile, a renewed interest in topological aspects has emerged from condensed matter physics, through the study of topological phases of quantum matter. The effective field theories for these systems are not of the usual Landau-Ginzburg-Higgs type, rather, they are described by topological gauge theories. The goal of this GGI activity is to bring together theoreticians of different backgrounds, in condensed matter, high energy and mathematical physics, with the belief that interdisciplinary approaches can lead to substantial progress in many directions.

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Condensed Matter Physics and Materials

Regensburg University, Dep. of Mathematics, SFB1085 (U. Bunke, D.C. Cisinski, G. Kings )

Homotopical and higher categorical methods have seen increasing importance in mathematics, both as foundations and as computational tools. In fact, such methods merge two apparently distinct goals: understanding geometrical forms and classifying mathematical structures. This conference aims at gathering together under this perspective geometers in a rather broad sense. It seeks to foster the applications of these higher methods in the interplay between homotopy theory, arithmetic, and algebraic geometry.

Number Theory, Arithmetic,    Algebra

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

The Galileo Galilei Institute for Theoretical Physics

Topological properties of gauge theories find application in the characterization of novel phases of matter and in establishing nonperturbative phenomena such as the duality relations between quantum field theories in three and four spacetime dimensions. This conference is meant to expose the current status of research in several domains dealing with topology and duality

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Mathematical Physics

Mathematical Sciences Research Institute (MSRI)

The use of dynamical invariants has long been a staple of geometry and topology, from rigidity theorems, to classification theorems, to the general study of lattices and of the mapping class group. More recently, random structures in topology and notions of probabilistic geometric convergence have played a critical role in testing the robustness of conjectures in the arithmetic setting. In this introductory workshop, we will bring together junior and senior researchers in order to provide a mix of introductory lectures as well as reporting on more recent progress in topics from this diverse range of subjects.

AMS, American Mathematical Society

This workshop will discuss results and new developments in Leibniz algebras and related topics. This includes and not limited to Lie algebras, homological algebra or non-commutative geometry.

Leibniz algebras, Lie algebras, Homological algebras.

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

The Galileo Galilei Institute for Theoretical Physics

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Mathematical Physics

Algebra,    Number Theory, Arithmetic

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

Algebra,    Graph Theory and Combinatorics

Centre International de Rencontres Mathématiques (CIRM)

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

Centre International de Rencontres Mathématiques (CIRM)

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

Courses and Events for Math Students and Early Career Researchers,    Graph Theory and Combinatorics

Centre International de Rencontres Mathématiques (CIRM)

Mathematical Sciences Research Institute (MSRI)

The study of discrete subgroups of Lie groups and the associated locally symmetric manifolds has a long and rich history, with powerful interconnections between the geometry of the locally symmetric space, topology of towers of its finite covers, and number-theoretic aspects. More recently dynamical and probabilistic techniques have been fruitfully employed to study these groups and spaces. The workshop will take stock of recent developments in these highly active fields from a variety of backgrounds.

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

Courses and Events for Math Students and Early Career Researchers,    Algebra

Institute for Mathematical Sciences/National University of Singapore

In this two-week program, we explore the interactions between geometric group theory, geometric structures and Anosov representations. Geometric group theory, in the broadest sense, seeks to understand the structure of groups through their actions on objects with geometric meaning. Conversely, one can take a known group and attempt to understand all its geometrically meaningful actions. One natural notion that arises in this setting is an Anosov representation, which came about as an attempt to describe what it means for the action of a discrete group on a homogeneous space to be geometrically well behaved. Also, in his Erlangen program, Felix Klein viewed geometry as a space which is invariant under a group of transformations. This gave rise to the notion of a geometric structure, which gives yet another notion of a geometrically meaningful action of a group on a homogeneous space.

Group Theory,    Courses and Events for Math Students and Early Career Researchers

CIRM – Centre International de Rencontres Mathématiques

The conference will bring together leading experts and research scholars to exchange and share their experience and research results on all aspects of mathematical physics and to promote transference of knowledge at the crossroads of mathematics and physics. There will be plenary sessions (30 to 40min), short talks and posters for student presentations. The scope of the conference will be quite broad, including in particular the following topics: polyanalytic function theory, harmonic analysis, representation theory and quantization, Clifford analysis and applications, coherent states, time-frequency analysis and wavelets, orthogonal polynomials, special functions and q-analogues, Hopf algebras and quantum groups, geometric mechanics and symmetry, exact solvable systems, spectral theory and quantum systems, topological methods. With the goal of encouraging communication and collaborative research between the participants, a feature of ICMMP2021 will be the inclusion of specific time-slots for scientific discussion.

Phone: [(212) (0) 663564850];     Email: mouayn@gmail.com

Harmonic analysis, representation theory and quantization, Clifford algebras, Clifford analysis and applications, Coherent states & wavelets, q-deformation, Hopf algebras and quantum groups, Geometric mechanics and symmetry, Orthogonal Polynomials, special functions and exact solvable systems, Spectral theory and quantum systems, Topological Methods

Mathematical Physics,    Group Theory

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM IHP PROGRAM

Mathematical Sciences Research Institute (MSRI)

The talks in this workshop will present a wide array of current applications of topology in neuroscience, including classification and synthesis of neuron morphologies, analysis of synaptic plasticity, algebraic analysis of the neural code, topological analysis of neural networks and their dynamics, topological decoding of neural activity, diagnosis of traumatic brain injuries, and topological biomarkers for psychiatric disease. Some of the talks will be devoted to promising new directions in algebraic topology that have been inspired by neuroscience.

CIRM – Centre International de Rencontres Mathématiques

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

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

Courses and Events for Math Students and Early Career Researchers,    Algebra

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

Courses and Events for Math Students and Early Career Researchers,    Analysis

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

CIRM – Centre International de Rencontres Mathématiques

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

Stability, Boundedness and Fano Varieties at the Beijing International Center for Mathematical Research.