Simon L. Marshall : The subconvexity problem in higher rank

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Nov. 1, 2019, 9:30 a.m.

In

1227 SEO

Abstract

I will recall the subconvexity problem for L-functions on $\text{GL}_n$, and describe some of its applications. I will then state a theorem of mine that is work in progress, and gives a subconvex bound for a family of L-functions on $\text{GL}(n) \times \ \text{GL}(n+1)$ for arbitrary $n$.

The seminar lasts 80 minutes (9:30am-10:50am).