Conférences - Théorie des groupes

(Alessandra Iozzi's 60th)

The PGTC is a conference organised by and aimed at postgraduate students working in group theory and related areas where students at all stages of postgraduate study can attend and give talks in a friendly environment. The opening and closing talks will be given by Professors Martin Liebeck and Colva Roney-Dougal and the bulk of the conference will be made up of contributed talks from postgraduate students. We will be hosting satellite GAP sessions on Monday and Friday, the main conference is Tuesday - Thursday.

Email.: PGTC@contacts.bham.ac.uk

Group theory, representation theory, algebra, GAP

The Fields Institute

The mathematical scope of the program is within noncommutative geometry, quantum groups, graph C*- algebras, KK-theory, index pairing, C*-dynamical systems and crossed products, Dirac operators, spectral triples, curvature, and quantum Gromov-Hausdorff distance. There are a number unifying principles which establish connections among the proposed topics of the meeting. For example, dynamical systems link together graph C*-algebras and noncommutative metric geometry. We aim to construct quantum metric geometries of crossed products and graph algebras relating the Lipschitz norm and Dirac-operator approaches. This links the metric and spectral features of noncommutative geometry. A key research focus of the proposed activities is to make precise the impact of metric and spectral noncommutative geometry on noncommutative topology. Graph C*-algebras are an abundant source of examples which test the bridges between the topics of the proposed conference.

Géométrie et topologie,    Algèbre

Group theory is a fundamental and highly active field of research within the mathematical sciences and has ramifications throughout all of mathematics and the sciences. There are large communities of group theory researchers in all continents, and they keep in touch through international meetings and conferences. However, local conditions and cultural circumstances under which mathematical research is done differ quite a bit between different regions of the world. The focus of this conference is on research in group theory in the USA and in China. One major goal of the conference is to establish and strengthen ties between group theorists in China and the US. It is the first conference in group theory with this focus. We will have about 15 invited talks and a limited number of contributed talks. The speakers from both countries will cover a large variety of the subjects in the area, which include representations of solvable groups, representations of simple groups, character theory, classes of groups, groups and combinatorics, recognizing simple groups from group invariants, p-groups, and fusion systems.

Tél.: [5122453735];     Email.: tk04@txstate.edu

Representations of solvable groups, representations of simple groups, character theory, classes of groups, groups and combinatorics, recognizing simple groups from group invariants, p-groups, and fusion systems

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

The Banff International Research Station will host the "Groups and Geometries" workshop in Banff from August 25, 2019 to August 30, 2019.

Group theory is an abstract subject, but it is also the mathematical way to investigate symmetry. Thus many problems from various areas of mathematics which involve some sort of symmetry are susceptible to the application of group theory. In this proposal we plan to cover three main areas: the abstract structure of finite groups; some geometrical aspects of group theory; and several recent applications of group theory to other areas of mathematics.

A. Alikhanyan National Laboratory (Yerevan Physics Institute) and Bogoliubov Laboratory of Theoretical Physics (BLTP, Dubna)

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

Centre International de Rencontres Mathématiques (CIRM)

The aim of the summer school is to gather young researchers arising from a quite wide mathematical area in order to build knowledge in two complementary fundamental theories. The first one is Bruhat-Tits theory which deals with the Euclidean buildings and integral models of reductive algebraic groups defined over a local field, the second one is the theory of Affine Grassmannians which are geometric objects arising from Representation Theory.

Cours et évènements pour étudiants en mathématiques,    Algèbre

In addition to research talks there will be an instructional component in the form of three minicourses. Doctoral students and young researchers are particularly encouraged to apply.

MPI f. Mathematik, Bonn

University of Southampton, UK

This three-day meeting in Southampton is intended to bring together researchers from the mathematics departments of the University of Bielefeld and the University of Southampton and a number of other researchers with similar interests. The general theme of the meeting is Geometric Group Theory, more specifically infinite groups in the presence of nonpositive curvature. During the meeting, we intend to hold ten talks with sufficient breaks to allow time for discussions.

Bielefeld University, Faculty of Mathematics

The Faculty of Mathematics will host this conference about outer space, groups of (outer) automorphisms of free groups and related topics. In addition to the talks, there will be a session on open problems in this area. This is one of the accompanying workshops of the 50 Years Faculty of Mathematics Anniversary Conference.

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

Email.: mnoce@unisa.it

Algèbre,    Géométrie et topologie

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

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

Mathématiques appliquées: Systèmes dynamiques, contrôle et automatisation,    Simulation

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

Kyoto University/Kobe University

Algèbre,    Théorie des graphes et combinatoire

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

Théorie des graphes et combinatoire,    Géométrie et topologie

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.

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.

Centre International de Rencontres Mathématiques (CIRM)

Algèbre,    Géométrie et topologie

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

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.

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