Conférences - Théorie des groupes

Mathematical Sciences Research Institute (MRSI)

Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable. The school will begin by providing students with a brief but thorough introduction to what could be termed the “bread and butter of modern representation theory”, i.e., compact Lie groups and their representation theory; character theory; structure theory of algebraic groups. We will then continue on to a number of more specialized topics. The final mix will depend on discussions with the prospective lecturers.

Cours et évènements pour étudiants en mathématiques,    Algèbre

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

Strasbourg University

The 34th International Colloquium on Group Theoretical Methods in Physics (ICGTMP), or Group 34, will be organized in Strasbourg University, France, from 18-22 July 2022. The International Colloquium on Group Theoretical Methods in Physics (ICGTMP) is a conference series which covers the most important topics of symmetry relevant to the interplay between modern physics and mathematics.

The ICM 2022 satellite conference Modern Trends in Representation Theory will take place in the picturesque mountain region of Altai Republic, located about 900 kilometers from Novosibirsk, Russia. The topics of the conference include but not limited to classical representation theory of Lie algebras and Lie groups, geometric representation theory, quantum groups, geometric quantization and integrable systems, cohomology of groups and algebras, algebraic invariant theory, vertex algebras, low-dimensional topology. For more information please visit the website of the conference https://mca.nsu.ru/altai2022/

The purpose of the conference is to bring together experts in Group Theory, Combinatorics and Computing to discuss computational, algorithmic and application aspects that have recently emerged at the interface between these areas. These areas are fundamental now to modern communications and have values for the economy and the continuing upgrading and staying ahead in our undergraduate and postgraduate programs in these important developments. We will focus somewhat on different applications to other sciences. We will also explore computational approaches like Computational Group Theory that give rise to new methodology in proving theoretical results.

Combinatorics, Computing, Group Theory and Applications

University of Trento, Department of Mathematics

Andrea Caranti and Carlo Scoppola have played an important role in Italian Mathematics, with particular regard to numerous aspects of algebra such as Group Theory, Lie Algebras, Applications to Cryptography and Code Theory, Number Theory and more.

Email.: topicsinalgebratrento@gmail.com

Groups, Lie algebras

The meeting will be devoted to discussing the recent discoveries joining various strands of quantum group theory and further perspectives of the field. We would like to focus especially on the developments which are connected to noncommutative harmonic analysis, connecting quantum groups with the theory of operator algebras, operator spaces and subfactors, and with the theory of tensor C*-categories.

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

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.

CIRM – Centre International de Rencontres Mathématiques

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

The Research Institute for Mathematical Sciences (RIMS)

Théorie des graphes et combinatoire,    Algèbre

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

Algèbre,    Théorie des graphes et combinatoire

The Fields Institute

The purpose of this conference is to create a discussion between experts that work on a number of such approaches to singular spaces as well as on the broader themes that lead to these structures: Hamiltonian group actions, completely integrable systems, and geometric quantization.

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.

Mathematical Sciences Research Institute (MSRI)

The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, L-values, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers.

The Research Institute for Mathematical Sciences (RIMS)

Algèbre,    Physique mathématique

Mathematical Sciences Research Institute (MSRI)

The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, L-values, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of L-values and the construction of p-adic L-functions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties.

CRM / Université de Montréal

Measured group theory looks at groups from a probabilistic perspective, by studying their actions on probability spaces up to orbit equivalence. It turns out that the orbit equivalence relations of these actions can remember information about the group, which has yielded classification and rigidity results, as well as new invariants such as cost, |^2-Betti numbers, and ergodic dimension. Initiated by Gromov and Zimmer, the subject has become a very fruitful area of research over the last 25 years. One reason for this is that to study the orbit equivalence relation of an action, one tries to measurably equip the orbits with various combinatorial and geometric structures (graphs, trees, CW-complexes) and investigate their characteristics (colorings, matchings, ends, |^2-Betti numbers), which often requires machinery from the corresponding subjects, and also contributes back to these subjects with new results. This two-way traffic has established new connections between Measured Group Theory and various different areas, including ergodic theory, descriptive set theory, probability theory, combinatorics, geometric group theory, Lie groups, and von Neumann algebras.

CIRM - Jean-Morlet Chair

ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.

CRM / Université de Montréal

This mini-school focuses on “huge” groups, such as the Cremona group and its subgroups, the homeomorphism group of a surface, the mapping class group of an infinite-type surface, a general Artin group. They can be studied through non-proper actions on nonpositively or negatively curved combinatorial spaces.

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.

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.

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.

Géométrie et topologie,    Théorie des graphes et combinatoire

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications