Konferenzen  >  Mathematik  >  Gruppentheorie

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.

University of Cape Town (Cape Town, South Africa) and University of the Western Cape (Bellville, South Africa)

Geometrie und Topologie,    Analysis

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.

Shahid Rajaee Teacher Training University

Group theory plays an important role in different branches of Mathematics, for example, Geometry, Number Theory and Analysis. Also group theory is one of the most powerful mathematical tools used in applied mathematics, cryptography, coding theory, steganography, quantum chemistry, spectroscopy, robotics, computer vision and quantum computation . It allows the user to predict, interpret, rationalize, and often simplify complex theory and data. The development in each field of group theory is getting faster and deeper. This fact makes all researchers to reach for a better understanding of the current works and developments, in all fields of group theory and its applications. The aim of this conference is to exchange the research ideas amongst the group theorists. In addition, specialists in the subject of group theory can present their latest research works and encourage the interested students to progress and widen their knowledge in group theory.

Tel.: [+989124074398];     Email: igtc16.sru@gmail.com

Permutation Groups Groups and Combinatorics Linear Groups Geometric and Combinatorial Groups Representation Theory and Character Theory Monoids, Semigroups, Hypergroup Probabilistic methods in group theory Algorithmic problems in finite groups Infinite Groups

Research Institute for Mathematical Sciences (RIMS)

Mathematical Sciences Research Institute (MSRI)

his 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.

Geometrie und Topologie,    Graphentheorie und Kombinatorik

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.

Geometrie und Topologie,    Graphentheorie und Kombinatorik

CIRM – Centre International de Rencontres Mathématiques

This introductory school on “Rigidity, dynamics and geometric structures” is in conjunction with program at IHP on “Group Actions and Rigidity: Around the Zimmer Program” in Spring 2024. The field has undergone tremendous change in the last decade Many new deep results have been proven and novel methods have been introduced. The goal of the school is to introduce many people to these new developments. In particular, we want to train a new generation of mathematicians, from graduate students to postdoctoral fellows. The participants would come from all around the world, but also especially from France and other nearby countries. We plan to conduct mini-courses on background, technical tools and particular constructions and examples. We would incorporate problem and exercise sessions. Junior Researchers will present short research talks.

CIRM – Centre International de Rencontres Mathématiques

Algebra,    Geometrie und Topologie

Fields Institute

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

Casa Matemática Oaxaca (CMO)

Recently, a lot of efforts have been for made the development of quantum technologies. Against this background, and partly motivated by it, the study of quantum channels and their continuous version, quantum Markov semigroups, has undergone an active development as a part of the mathematical framework of the theory. Because the new mathematical developments are being driven by problems arising in a wide variety of potential applications, it is especially timely to bring both seasoned researches, who are leading the various different aspects of the recent advances in the field, together with young recently graduated PhD in order to develop a general perspective of the current research advances, problems and opportunities. We welcome young researchers interested in these topics. The main topics of the workshop will include: Quantum Gaussian states and semigroups, Generalized quantum Gaussian semigroups, Weak-coupling, low density, digraph induced and G-circulant semigroups, Invariant states, attraction domains and decoherence-free subalgebras, applications to quantum transport and information theory.

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

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

CIRM – Centre International de Rencontres Mathématiques

Algebra,    Graphentheorie und Kombinatorik

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

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

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

CIRM – Centre International de Rencontres Mathématiques

Hausdorff Research Institute for Mathematics (HIM)

This meeting is a follow-up workshop to the trimester program Logic and Algorithms in Group Theory.