Monday, November 22, 2021 at 3:30pm to 4:30pm
Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089
Masoud Zargar, USC
Abstract: Spectral gaps for graphs and the spectral geometry of Riemannian manifolds contain interesting information about the geometry of the underlying objects. Spectral gaps have been studied using various approaches by several people, combining ideas from representation theory, probability theory, and analysis among others. I will explain some of these approaches and state a new result on the spectral gaps of random flat unitary bundles over hyperbolic surfaces.