Graduate Groups and Dynamics Seminar
Mikolaj Fraczyk
Renyi Institute
Benjamini-Schramm convergence for congruence arithmetic lattices
Abstract: I will explain the relation between Benjamini-Schramm convergence of sequences of locally symmetric spaces and certain bounds on the geometric side of the Arthur-Selberg trace formula. After giving a brief description of arithmetic congruence lattices I will sketch a proof of the Benjamini-Schammm convergence for sequences of congruence arithmetic hyperbolic 2 and 3 orbifolds. We will treat the number theoretic estimates as a black box and focus on the “ergodic” part of the proof, which is a nice application of the Borel density theorem for IRS’ses (joint work with Jean Raimbault).
Wednesday March 13, 2019 at 4:00 PM in 612 SEO