Conférences - Théorie des groupes

ICERM

This workshop is at the interface of algebra, geometry, and computer science. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representations of groups and their geometric properties. The setting of linear Lie groups is amenable to calculation and modeling transformations, thus providing a bridge between algebra and its applications. The main goal of the proposed workshop is to synergize and synthesize the independent strands in the area of computational aspects of discrete subgroups of Lie groups. We aim to facilitate solutions of theoretical problems by means of recent advances in computational algebra and additionally stimulate development of computational algebra oriented to other mathematical disciplines and applications.

Tél.: [4018635030];     Email.: info@icerm.brown.edu

Centre of Geometry and Topology at the University of Copenhagen

In this Masterclass, we will learn about the high dimensional cohomology of moduli spaces such as the moduli space of curves, graphs, and lattices. These moduli spaces are classifying spaces of groups such as mapping class groups, automorphism groups of free groups, and arithmetic groups. We will learn about duality groups whose high dimensional cohomology of these moduli spaces is related to the low degree homology groups with twisted coefficients. We will also discuss graph homology and tropical curves.

The masterclass is aimed at advanced graduate students and postdocs with an interest in algebraic topology and geometric group theory. Connections with algebraic geometry and number theory will be mentioned but this is not the primary focus.

Email.: patzt@math.ku.dk

Group cohomology, moduli spaces, duality groups, geometric group theory, arithmetic groups

Géométrie et topologie,    Théorie des nombres, arithmétique

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

In arithmetic geometry, one studies solutions to polynomial equations defined with arithmetically interesting coefficients, such as integers or rational numbers. One way to study such objects, which has seen tremendous success in the last several decades, is by investigating their symmetries. Quite surprisingly, in several interesting situations, many of the geometric and arithmetic properties of the objects in question are actually controlled by the object’s symmetries.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

TU Dresden

The aim of this conference is to bring together experts and young researchers from various fields and communities in mathematics related to operator semigroups and linear evolution equations. The conference will also celebrate Charles Batty’s ongoing outstanding contributions to the theory of operator semigroups, C*-algebras and their relations to other areas of analysis. We expect there to be around 60 participants in the conference, about half of them early career researchers (Ph.D. students and postdocs).

American Institute of Mathematics, San Jose

This workshop, sponsored by AIM and the NSF, will be devoted to actions of higher rank groups. The general theme is the global rigidity or classification of such actions (at times satisfying additional dynamical hypotheses) up to smooth changes of coordinates.

University of St Andrews and Newcastle University

The conference aims to cover all aspects of group theory. The short lecture courses are intended to be accessible to postgraduate students, postdoctoral fellows, and researchers in all areas of group theory.

Georg-August Universität Göttingen

The Summer School is organized by the research group Analysis of PDEs under the umbrella of the newly created DFG funded Research Training Group RTG 2491 Fourier Analysis and Spectral Theory.

The topic of the school is Singular Integral Operators on Nilpotent Lie Groups and Related Topics. In particular, the topics of the advanced courses of the summer school will be: Harmonic Analysis on the Heisenberg Group, PDE on Nilpotent Lie Groups, Restriction Estimates - On Euclidean Space and the Heisenberg Group, and Singular Integral Operators with Flag Kernels.

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

Group actions are a mathematical approach to analysing structures by studying the rearrangements of the elements of the structure that preserve the defining properties of the structure. Indeed, historically, group theory developed primarily as a technique for handling questions concerning the resolution of algebraic equations (the group introduced here by Galois permutes the roots of the equation), and has since become a standard language for formalising and solving various natural questions from a wide range of mathematics.

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

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

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

In this workshop, we want to bring together researchers from both sides of this development: those mathematicians specializing in the application of modern algebraic and algebro-geometric methods to the study of algebraic groups and their torsors, as well as those working on relevant aspects of the motivic and cohomological approaches from a more abstract viewpoint. We hope that bringing this mix of researchers together will have a synergistic impact, leading to concrete new applications of the abstract machinery to outstanding problems on quadratic forms, algebras with involution and algebraic groups, but also inspiring progress on the general development of the motivic and cohomological methods.

Cours et évènements pour étudiants en mathématiques,    Algèbre

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

The cohomology of arithmetic groups is the study of the properties of ``holes'' in geometric spaces that contain information about number theory. The workshop will bring together mathematicians with expertise in number theory, topology, and geometric group theory to tackle these problems and explore recent developments.

Géométrie et topologie,    Théorie des nombres, arithmétique

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

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

CIRM – Centre International de Rencontres Mathématiques

CIRM-IHP PROGRAM - RESEARCH SCHOOL

A conference on the interactions between geometry, arithmetic, and groups will be held at the University of Texas, Austin, June 20-24, 2022, celebrating the accomplishments and influences of Alan W. Reid.

Géométrie et topologie,    Théorie des nombres, arithmétique

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

CIRM – Centre International de Rencontres Mathématiques