Date & Time: Thursday, March 05, 2015, 16:00-17:00.
Venue: Ramanujan Hall
Title: Weyl's law and generalizations
Speaker: Abhishek Parab, Purdue University
Abstract: The classical form of Weyl's law is concerned with counting the eigenvalues of the Laplacian operator on a bounded domain. Atle Selberg generalized it in the 50s to show the existence of non-holomorphic modular forms. I will explain the Weyl's law with examples and how it counts automorphic forms, which are objects of number-theoretic interest.