Conférences  >  Mathématiques  >  Théorie des groupes

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.

In this workshop we will study infinite-type surfaces and their mapping class groups from several perspectives. Each participant will be asked to either give a lecture or run a problem session.

Géométrie et topologie,    Algèbre

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.

Tél.: [+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

CIRM

GAGTA conferences form an annual series of conferences devoted to the dialogue between different approaches on infinite groups: Geometry, combinatorics, decidability, logic and algorithms. These conferences gather every year a group of involved specialists and focus on giving good opportunities to young researchers. They both contribute to long term research thematics and explore new trends. Growth of groups, metric properties as initiated by M. Gromov, computation, algorithms and logic in infinite groups are the main lines of theses conferences. Cubic groups, contracting elements in almost hyperbolic groups, random walks on groups, dynamical systems, various aspects of normal forms in specific groups, automata groups and self-similar groups are some of the current hot topics. All in all, these conferences are a meeting point between algebra, geometry and computer science. In this venue of GAGTA, we will also emphasize the strong links with symbolic dynamics as well as the strengths of Sage software for computing in group theory.

Géométrie et topologie,    Algèbre

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.

Géométrie et topologie,    Théorie des graphes et combinatoire

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.

Géométrie et topologie,    Théorie des graphes et combinatoire

This is the fourth instalment of the THGT conference series. As its predecessors, the conference takes place in Bielefeld in spring, and as before it welcomes researchers studying groups through their interactions with topology and homology, as well as people interested in entering the subject.

Géométrie et topologie,    Algèbre

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

Algèbre,    Géométrie et topologie

Fields Institute

Institute for Mathematical Sciences - National University of Singapore

Arithmetic groups have long been of interest in number theory (e.g. via the theory of automorphic forms), geometry (e.g. building interesting examples of Riemannian manifolds), and topology (e.g. computing (co)homology of locally symmetric spaces). Yet, their subgroup structure, particularly of their infinite index subgroups, remains mysterious. Thin groups are such infinite index subgroups that have come to prominence recently because they arise naturally in various contexts with connections to number theory, geometry and topology. The focus of our two-week event is on computational aspects of thin groups. The recent activity highlights the need for algorithms and procedures to study these groups. Our event is the first aimed specifically at addressing this topic.

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Algebraic geometry is the field of mathematics which concerns the study of spaces cut out by polynomial equations. This workshop concern the interaction of two important objects in algebraic geometry - the K-groups and the Brauer group. In algebraic geometry, we study spaces via invariants - the procedure of attaching simpler, more "linear" objects to these spaces in the hope of extracting information about them. Both the K-groups and Brauer group are such examples which have had an excellent track record in being both powerful and accessible at the same time. Roughly speaking, the K-groups are built out from \emph{vector bundles} on such a space - a continuous assignment of vector spaces on each point of the space. On the other hand the Brauer groups are built from "twisted" vector bundles. Both invariants have had a history of interaction and cross-pollination and the goal of the workshop is to bring together researchers in both areas to share their research and pave the way for even more fruitful interaction in the future. We are particularly excited about the prospect of new, field-driving questions to come out from this workshop.

Algèbre,    Cours et évènements pour étudiants en mathématiques

University of Milan, Department of Mathematics, Italy and CIC Cuernavaca, Mexico

The conference welcomes experts and students in the subject of nonlinear mathematical physics, where the focus is on the development and use of mathematical theories to analyse and solve nonlinear problems that arise in nature and in technologies. Participants can present their recults orally or in the form of a poster. The main subjects include nonlinear continuous and discrete integrable equations, non-commutative geometry, symmetry analysis, wave propagations, and the classification of equations. One evening of talks is reserved for the non-expert audience where the general public is invited to listen to presentations which will be of a non-technical and more philosophical nature. This open-door session is titled "An Evening of Science and Philosophy" and participation is free for everyone.

Email.: Dr.Norbert.Euler@gmail.com

Nonlinear Continuous and Discrete Equations, Integrable Equations and Applications, Non-Commutative Geometry, Symmetry Analysis, Nonlinear Flows, Wave Propagation Mathematics in Fluid Mechanics and Geophysics, Classification of Nonlinear Equations, Lie and Lie Superalgebras, Representation Theory, Dynamical Systems, Chaos

Physique mathématique,    Algèbre

Hausdorff Research Institute for Mathematics (HIM)

First motivated by questions in mathematical physics, algebraic supergroups and Lie superalgebras have now become of central interest in pure mathematics with connections to many other fields such as algebraic geometry and even analytic number theory. The representation theory of supergroups and connected algebraic structures such as super vertex operator algebras or quantum supergroups has seen a lot of progress over the last decades. The workshop will bring together researchers, new and established, to discuss exciting topics at the forefront of these areas.

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

Cours et évènements pour étudiants en mathématiques,    Algèbre

CIRM – Centre International de Rencontres Mathématiques

Algèbre,    Théorie des graphes et combinatoire

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

Cours et évènements pour étudiants en mathématiques,    Algèbre

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

CIRM – Centre International de Rencontres Mathématiques

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Hausdorff Research Institute for Mathematics (HIM)

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