Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

 

Past events in this series


Thu, 22 May 2025
16:00
C3

Convergence of unitary representations of discrete groups

Michael Magee
(University of Durham)
Abstract

Let G be an infinite discrete group; e.g. free group, surface groups, or hyperbolic 3-manifold group.

Finite dimensional unitary representations of G of fixed dimension are usually very hard to understand. However, there are interesting notions of convergence of such representations as the dimension tends to infinity. One notion — strong convergence — is of interest both from the point of view of G alone but also through recently realized applications to spectral gaps of locally symmetric spaces. For example, this notion bypasses (unconditionally) the use of Selberg's Eigenvalue Conjecture in obtaining existence of large area hyperbolic surfaces with near-optimal spectral gaps. 

The talk is a broadly accessible discussion on these themes, based on joint works with W. Hide, L. Louder, D. Puder, J. Thomas, R. van Handel.

Tue, 03 Jun 2025
16:00
C3

TBC

Robert Neagu
(KU Leuven)
Abstract

to follow

Tue, 17 Jun 2025
16:00
C3

TBC

Diego Martinez
(KU Leuven)
Abstract

to follow

Tue, 24 Jun 2025
16:00
C1

TBC

Victor Wu
(University of Sydney)
Abstract

to follow