Members' Colloquium
Convergence of Unitary Representations and Spectral Gaps of Manifolds
Let G be an infinite discrete group. Finite dimensional unitary representations of G 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.
The talk is a discussion on these themes, based on joint works with W.
Hide, L. Louder, D. Puder, J. Thomas.
Date & Time
Location
Simonyi 101 and Remote AccessSpeakers
Event Series
Categories
Notes
Meeting ID: 874 6951 4935
Passcode: 483357
Video link: https://www.ias.edu/video/convergence-unitary-representations-and-spect…