## Number Theory - Neha Prabhu (Queen's University)

### Wednesday, April 4th, 2018

**Time:** 2:15 p.m. **Place:** Jeffery Hall 319

**Speaker:** Neha Prabhu (Queen's University)

**Title:** Moments of the error term in the Sato-Tate law for elliptic curves.

**Abstract:** The Sato-Tate theorem for elliptic curves was proved by L. Clozel, M. Harris, N. Shepherd-Barron and R. Taylor in a series of papers from 2008-2010. Since the Sato-Tate law is an asymptotic statement, one is naturally interested in studying the nature of the error terms. In this talk, I shall describe some results relating to moments of the error term when we consider averages over certain families of elliptic curves. This is joint work with Stephan Baier.