**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.