Event time:

Wednesday, February 28, 2024 - 4:00pm

Location:

KT 219

Speaker:

Michael Magee

Speaker affiliation:

Durham Univeristy and IAS

Event description:

Let G be an infinite discrete group. Finite dimensional unitary representations of G in fixed dimension are usually quite 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.