Conferences  >  Mathematics  >  Group Theory

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.

CIRM – Centre International de Rencontres Mathématiques

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.

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

Centre de recherches mathématiques – CRM / UQAM

Centre de recherches mathématiques (CRM)

The focus of these activities will be on the algebraic and dynamical aspects of ordered group theory. Introductory mini-courses will be given in the first week by Adam Clay (Manitoba), Tyrone Ghaswala (Waterloo), Thomas Koberda (Virginia) and Andrés Navas (Santiago). The second week will be devoted to research talks covering recent advances in both the theory of ordered groups and their applications in group theory, dynamics and low-dimensional topology.

This conference will focus on the interactions between manifolds and submanifolds of dimensions 1, 2 and 3 and their relations to topological, geometric, and group theoretic questions in a celebration of the accomplishments and influences of Yair Minsky.

Geometry and Topology,    Algebra

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.

Centre de recherches mathématiques – CRM

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

Mathematics has a wide range of different disciplines, from algebra to geometry and from analysis to topology, etc. Some discoveries, however, are able to link several disciplines together and open a field of interplay. Two of such recent discoveries are self-similar group representations and projective spectrum of linear operators. The goal of this workshop is bring together scholars in spectral theory, representation theory, complex dynamics and other related fields to exchange and examine some recent discoveries on self-similarity and projective spectrum.

CIRM – Centre International de Rencontres Mathématiques

The proposed conference aims to bring together experts from different fields: group theory, ergodic theory, probability theory and descriptive set theory. The common interest is to study properties and invariants of infinite groups using various tools, like spectral theory, L2 theory, entropy, orbit equivalence, profinite methods, random walks and graph convergence. There is already considerable interaction between these fields and the proposed participants, but much more is needed. The conference will allow participants to assimilate each others language and will open new connections.

Probability and Statistics, Game Theory,    Systems theory, Control and Automation

Casa Matemática Oaxaca (CMO)

The mathematical notion of a group encapsulates our common idea of symmetry. Groups play an important role in mathematics, and their structure has profound impact in the solution of a variety of problems in pure and applied mathematics. Groups are often studied from different perspectives, putting an emphasis on qualitatively different features of their structure, and therefore leading to the resolution of problems that tend to be different in nature. The aim of this workshop is to bring together some of the leading figures in two of these areas, so that each can learn new problems and techniques from the other. This will help open new avenues of research which will advance the current state of the art.

ICMS - International Centre for Mathematical Sciences

Algebra,    Geometry and Topology

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.

Geometry and Topology,    Graph Theory and Combinatorics

The conference "Finite and Residually Finite Groups", celebrating Pavel Shumyatsky's 60th birthday will be held in Bilbao (Spain), from June 20th to 23rd, 2023, and is jointly organised by the University of the Basque Country, the University of Brasilia, and the University of Padova. The format of the conference will include invited talks, contributed talks and a poster session. Also, there will be up to 15 accommodation grants for young researchers.

Email: pavel60conference@gmail.com

This conference is the 3rd of 5 meetings organized within the ERC project GeoMeG (Geometry of Metric Groups). The general plan is to bring together international researchers working in various areas of mathematics with connections to sub-Riemannian geometry or, more generally, metric geometry.

Introductory courses: June 19-20, 2023; Conference: June 21-23, 2023

Lie groups

UP FAMNIT: University of Primorska, Faculty of Mathematics, Natural Sciences and Information; UP IAM: University of Primorska, Andrej Marušič Institute; SDAMS: Slovenian Discrete and Applied Mathematics Society

The 11th PhD Summer School in Discrete Mathematics is a summer school aimed to bring together PhD students and early carreer researchers working in various areas of combinatorics. The 11th edition will be held in the coastal city of Koper, Slovenia.

Email: sygn@upr.si

Algebraic graph theory, spectral graph theory, discrete mathematics, algebraic combinatorics.

Graph Theory and Combinatorics,    Algebra

Interest in specialization of polynomials and Galois groups goes back at least to the work of Hilbert on the inverse Galois problem. This theory has found an abundance of applications in Algebra, Number Theory, Group Theory, and Arithmetic Geometry. In recent years, the area is blooming and we see striking results that open completely new horizons: The discovery of Hilbert irreducibility properties of algebraic groups, its connection with expanders and random walks, the interrelation with arithmetic-geometric properties of parametrizing varieties, and the exciting progress on the Cohen-Lenstra heuristics. The conference aims to bring together leading experts and young researchers interested in the area. We plan to leave an abundance of free time, dedicated to informal discussions. We believe that this will encourage the transfer of ideas, techniques, and will foster new collaborations and new research directions.

Algebra,    Number Theory, Arithmetic

De Giorgi Center of the Scuola Normale Superiore, Pisa, Italy

Geometric analysis and geometric group theory are two fields which have 
seen rapid progress in recent years, with the development of powerful 
tools that have solved major open questions and opened up exciting new 
avenues of inquiry. Both these fields are very active but there have been relatively few 
opportunities to explore the interaction between them. The goal of this 
conference is to bring together world-leading experts from these two 
different research communities in order to enable exchange of ideas and 
explore potential new applications.

Geometric group theory, Geometric analysis, Geometric measure theory, analysis on metric spaces, quasiisometry, geometric flow, Ricci flow, quasisymmetry.

Geometry and Topology,    Analysis

This conference is part of a thematic program on geometric group theory and low-dimensional geometry and topology organized by the Agol Lab at ICMAT.

This conference is organized around the themes of K-theory, (motivic) homotopy theory, topological Hochschild homology, trace methods, and related topics. It is dedicated to Bjørn Ian Dundas on the occasion of his 60th birthday.

North-West University

The 7th Biennial International Group Theory Conference (7BIGTC2023) will be hosted by North-West University. The conference will take place at NWU Sports Village in Potchefstroom, South Africa from 7-11 August 2023. The first BIGTC was held in February 2011 in Malaysia and since then, the conference has been held every two years. The main objectives of this conference are to gather prominent researchers in the field of group theory and be the platform of information on the latest research in this area. The conference also aims to foster interest and motivation in pure mathematics in general and group theory in particular and exchange research ideas among group theorists and postgraduate students. In addition, specialists in the subject of group theory can present their latest research works and encourage interested students to progress and widen their knowledge in group theory.

Casa Matemática Oaxaca (CMO)

In the recent development of Mathematics, the study of symmetry of highly singular objects has contributed to the simultaneous understanding of symmetries and groups. The aims of the Workshop are the study of symmetries of the Cantor set, and the understanding of the groups arising as symmetries of the Cantor set.

The conference will take place in Ventotene, Italy from the 11th until the 11th of September 2023.   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.

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

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

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.

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

The symmetries of classical mathematical objects form a group. In the past several decades, we have seen new quantum mathematical objects like von Neumann algebras and quantum field theories whose symmetries are best described by tensor categories. One reason for this is that these mathematical objects naturally form higher categories, and thus their endomorphisms naturally form higher monoidal categories. In this sense, we view fusion categories as objects which encode quantum symmetries. Subfactors are a rich source of examples of exotic unitary fusion categories, and conversely, every unitary fusion category arises from a subfactor. This correspondence leads to deep mathematical connections between these fields. These mathematical objects are also intimately related to conformal field theory and topological phases of matter, which give topological quantum field theories, in which higher categories play an important role. The purpose of this workshop is built on the 2014 and 2018 BIRS workshops on subfactors and fusion categories, with the goal of studying these objects through a higher categorical lens. To do so, we will bring together world experts from subfactors, fusion categories, higher categories, and mathematical physics to further develop the deep and rich connections between these fields.

Mathematical Sciences Research Institute (MSRI)

This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.

Geometry and Topology,    Graph Theory and Combinatorics

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