Conférences - Théorie des groupes

Università di Milano-Bicocca, University of Southampton, Académie de Paris

The Workshop intends to draw together a broad range of group theory including the study of topological groups (such as profinite or more general locally compact) as well as analytical and geometrical aspects of discrete groups including random walks on Cayley graphs and coarse geometric structure. There will be 3 talks each day and participants would be free to pick and choose which ones to attend. We also plan to have space for social interaction including small splinter group discussion. If you are interested in participating, please fill out the registration form available on the webpage. Once registration is completed, you will be notified with every new update on the meeting and all the instructions.

Organizers;     Email.: ilaria.castellano@unimib.it

group theory, locally compact, profinite, geometric structures, random walks, manifolds

The conference explores the web of interactions among the subjects in the title, on the occasion of Laci Babai's 70th birthday.

Email.: gggc2020@renyi.hu

Algèbre,    Théorie des graphes et combinatoire

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

ICERM

Galois groups encode the internal structure of field extensions. Less well-known is that (families) of systems of polynomial equations or geometric problems also have Galois groups that encode the internal structure of the equations or geometric problems. During the 2018 Fall program at the ICERM on Nonlinear Algebra, different groups of researchers who were studying or using Galois groups in their work became more aware of their related interests. This common thread connects recent work in enumerative geometry, statistics, computer vision, number theory, and numerical nonlinear algebra. Further connections have subsequently been realized to arithmetic enhancements of intersection theory and to random real algebraic geometry. This workshop will bring representatives of these research groups together to deepen these interactions and chart new research goals.

This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.

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

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 Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Symmetries appear naturally in various areas of mathematics and the sciences, ranging from geometry, numbers, differential equations to quantum mechanics. The more symmetries there are, the better we can grasp the objects by group theoretic approaches. Branching problems investigate how a large symmetries break down into smaller ones, such as fusion rules, via a mathematical formulation using the language of representations and their restrictions. Branching problems have a history of study of over 80 years. In recent years there was an outburst of research activities focus- ing on the restriction of continuous symmetries in the infinite-dimensional cases, for which new geometric and analytic methods have been developed. We highlight branching problems of infinite-dimensional representations of real, p-adic and adelic reductive groups, the former carrying analytic features and the latter carrying number-theoretic features, which might lead us to a (conjecturally) unified phenomenon. A major goal of the Workshop is to capitalize on this momentum and to gather researchers from diverse mathematical disciplines to encourage new collaborations, and achieve progress in solving open questions in number theory, geometry and physics.

Urmia University

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)

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).

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

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

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