| Wednesday 1 May 2024 | |
| Events for day: Wednesday 14 June 2023 |
| 15:00 - 16:00 Online Seminar on Representation of Algebras Mutation of Maximal Rigid Objects in 0-Auslander Extriangulated Categories School MATHEMATICS We introduce the notion of a 0-Auslander extriangulated category in order to study mutations in representation theory. Our aim in this talk is to show that many examples of known mutations can be interpreted as mutations of maximal rigid objects in some 0-Auslander extriangulated categories: cluster tilting mutation, two-term silting mutation, mutation of maximal almost-rigid modules, mutation of intermediate co-t-structures, flips of dissections... This is a collaboration with Mikhail Gorsky and Hiroyuki Nakaoka. More info: http://portal.math.ipm.ir/PagesEvents/DisEventsHome.aspx?esbu=15d1151b ... 17:30 - 19:00 Number Theory Webinar Weyl Groups in Cantor Dynamics School MATHEMATICS Arboreal representations of absolute Galois groups of number fields are given by profinite groups of automorphisms of regular rooted trees, with the geometry of the tree determined by a polynomial which defines such a representation. Thus arboreal representations give rise to dynamical systems on a Cantor set, and allow to apply the methods of topological dynamics to study problems in number theory. In this talk we consider the conjecture of Boston and Jones, which states that the images of Frobenius elements under arboreal representations have a certain cycle structure. To study this conjecture, we borrow from the Lie group theory the concep ... |