When:
Friday, November 1, 2024
2:00 PM - 3:00 PM CT
Where: Lunt Hall, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Bao Le Hung
Group: Department of Mathematics: Number Theory Seminar
Category: Lectures & Meetings
Title: Equidistribution and Subconvexity
Abstract: A fundamental conjecture in number theory is the Riemann hypothesis, which implies the prime number theorem with an optimally strong error term. While a proof remains elusive, many results in number theory can nonetheless be proved using weaker inputs. I will discuss how one such weaker input, subconvexity, can be used to prove strong results on the equidistribution of geometric objects such as lattice points on the sphere. I will also discuss how various proofs of subconvexity reduce to understanding period integrals of automorphic forms.