MATH Seminar

Title: P-adic Properties of Modular Forms of Half-integral Weight
Seminar: Algebra and Number Theory
Speaker: Nick Ramsey of DePaul University
Contact: Zachary A. Kent, kent@mathcs.emory.edu
Date: 2011-04-28 at 3:00PM
Venue: MSC E406
Download Flyer
Abstract: Motivating with some classical examples, I will explain why congruences are germane to the theory of modular forms and how this "p-adic" point of view has borne fruit in the integral weight setting. As many quantities of arithmetic significance occur in half-integral weight, it is natural to inquire about analogues of the p-adic theory in that world. I will explain a number of aspects of my work on p-adic modular forms of half-integral weight and some of their consequences for congruences.