|Parent Program:||Analytic Number Theory|
|Location:||MSRI: Baker Board Room|
4.00pm: Corentin Perret-Gentil
Title: Exponential sums and the large sieve
Abstract: We discuss the use of the large sieve for Frobenius in compatible systems along with finite monodromy groups to study the distribution of families of exponential sums in the cyclotomic integers.
4.30pm: David Lowry-Duda
Title: Using Modular Forms to Count Lattice Points on Hyperboloids
Abstract: We describe how to use modular forms to get accurate asymptotics for the number of integer lattice points on one-sheeted hyperboloids such as X^2 + Y^2 = Z^2 + 1. We will frame this in the general framework of how to use and understand shifted convolution sums coming from modular forms.