Conférences - Théorie des groupes

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

The workshop intentionally focusses on only four main speakers giving a 4-hour mini-course each. Their lectures are supposed to present a panoramic overview over some important developments in their field with the goal to enable the participants to actively participate in the new directions of research emerging from these developments. Special time slots will be reserved for active discussions of the participants under the moderation of the main speakers.

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.

Géométrie et topologie,    Théorie des nombres, arithmétique

University of Salerno

CIRM – Centre International de Rencontres Mathématiques

This proposal aims to develop further a novel domain of computational group theory: the design of algorithms and software for finitely generated linear groups over infinite fields. Our research is motivated by the applications of linear groups in many areas of mathematics, and the high demand for algorithms to carry out practical computations. We plan to advance our recently obtained computational techniques, based on exploring Zariski density and the strong approximation property. Specifically, we will complete the design of algorithms for isometry groups over infinite domains, and apply implementations of these algorithms to solve hard open problems via computer-aided experimentation. The latter includes experiments with symplectic hypergeometric monodromy groups. All results will be new. Moreover, the algorithms will be the first-ever of their kind, satisfying the demand for practical computational methods in the areas concerned.

Centre International de Rencontres Mathématiques (CIRM)

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.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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.

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.

Géométrie et topologie,    Algèbre

A conference of the Spanish Network in Group Theory celebrating Pavel Shumyatsky's 60th birthday. The conference programme will include invited lectures, a limited number of contributed talks and a poster session.

Email.: pavel60conference@gmail.com

Centre International de Rencontres Mathématiques (CIRM)

Algèbre,    Géométrie et topologie

This workshop, sponsored by AIM and the NSF, will be devoted to extending results on random walks known for Lie groups or hyperbolic groups, to the more general class of groups which have actions on (non-proper) Gromov hyperbolic spaces.

University of Milano-Bicocca, Department of Mathematics

The two-year cycle of conferences "GABY - Groups & Algebras in Bicocca for Young algebraists" stems from the will to support young researchers in group theory, algebra and related topics. The convention is committed to provide an introduction to those topics of group theory and algebra that may not be readily available in any institution and that cover some of the most inviting research topics. Each conference in the series consists of three mini-courses complemented by lectures, posters, and discussion sessions. In addition, we give participants the opportunity to present their research and to expand their network of contacts with other researchers in the areas of interest to them.

Event organization;     Email.: gaby2020milan@gmail.com

representations of groups, geometric group theory, growth of groups, amenable groups, p-adic groups

Algèbre,    Théorie des graphes et combinatoire

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

Universität Paderborn - Institut für Mathematik

The theme of the conference is reductive groups in a broad sense, i.e. we intend to have talks on harmonic analysis, representation theory, automorphic forms, geometry and ergodic theory.

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Russia

G2G2-Summer School is associated with G2G2-Minisymposia of 8ECM. It belongs to the G2-series that are about strong and beautiful mathematics, especially those involving group actions on combinatorial objects. The main goal of G2G2-Summer School is to bring together experts and students to exchange ideas and to enrich their mathematical horizon. We organize two short courses and four colloquium talks to let participants see order and simplicity from possibly new perspectives and share insights with experts.

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

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

Banff International Research Station for Mathematical Innovation and Discovery

The investigation of arithmetic groups has been an active and important area of mathematical research ever since it arose in the work of Gauss, Klein, Poincare, and other famous mathematicians of the 18th and 19th centuries. New points of view have recently led to progress on classical problems, opened new directions of inquiry, and revealed unexpected connections with other areas of mathematics. The workshop will bring together experts in the area, researchers in related fields, and young mathematicians who wish to learn about the most recent advances and the most promising directions for the future of the field.

CIRM – Centre International de Rencontres Mathématiques

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

Institute for Mathematical Sciences/National University of Singapore

This workshop is devoted to the theory of representations of reductive groups over local fields.

Centre International de Rencontres Mathématiques (CIRM)

Algèbre,    Physique mathématique

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.

Géométrie et topologie,    Cours et évènements pour étudiants en 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.

Tél.: [(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

Physique mathématique,    Géométrie et topologie

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

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

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