Konferenzen  >  Mathematik  >  Gruppentheorie

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

Webs are diagrammatic tools for representing complex calculations graphically. These diagrams first arose from the representation theory of classical groups, and they have since become important in disparate areas of mathematics. In representation theory, they encode morphisms of quantum groups. In topology, webs give rise to powerful link invariants. In algebra and geometry, Kuperberg's \(mathrm{sl}(3)\) web bases have important relationships with the theory of cluster algebras and affine buildings. In combinatorics, they explain certain dynamics on Young tableaux. Recent work by Gaetz--Pechenik--Pfannerer--Striker--Swanson introduced an \(\mathrm{sl}(4)\) web basis that has exploited and extended exciting connections between webs, plabic graphs, and crystals. There are further connections to total positivity, duality conjectures for cluster algebras and mirror symmetry.

Graphentheorie und Kombinatorik,    Algebra

Jagiellonian University, Faculty of Mathematics and Computer Science

Probabilistic methods were pioneered in combinatorics, often providing the first constructions of interesting classes of objects. We are now at a point where these methods evolved to yield important new examples in Riemannian geometry and dynamics. On the other side, ergodic methods were for a long time used to prove rigidity theorems in Riemannian geometry, a trend that continues to this day. Sometimes these two approaches can be fruitfully combined. The goal of this meeting is to explore interactions of probabilistic and ergodic methods in broadly understood geometry.

Organiser email;     Email: pierogy@matinf.uj.edu.pl

probabilistic notions of convergence of actions, random subgroups, random manifolds, geometric group theory, ergodic theory, measurable actions, measurable equivalence relations, percolation on graphs, stochastic geometry

Statistik, Spieltheorie ,    Geometrie und Topologie

The International Centre for Mathematical Sciences (ICMS)

This workshop centers on the representation theory of finite groups and closely related structures. Some areas of the field are well-established and classical, while others include subjects born only recently. All are being rapidly evolving and actively explored by diverse research communities. These communities, often located in different regions around the world, offer distinct perspectives and approaches to the subject. A central aim of the workshop is to bring together experts and early-career researchers from these various groups, providing a forum to share progress, exchange ideas, and ask each other questions. The workshop also offers an opportunity to celebrate Dave Benson’s 70th birthday, which falls in December 2025. Dave’s work has had a profound influence on many of the themes represented at this meeting, and we look forward to honoring his contributions during the event.

Cohomology and modular representation theory of finite groups; Hochschild cohomology; Algebraic topology; Tensor-triangular geometry; Finite tensor categories

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik