Students Working Seminar in Number Theory

Date: March 2, 2020

Time: 4:00PM - 5:00PM

Location: Bloc605ax

Speaker: Bradford Garcia, Texas A&M University

Title: The Adeles over Q

Abstract: In this talk, I plan to introduce the adeles over Q by first discussing the field of p-adic numbers and how we can define p-adic integration. Following this, we will build up some familiar machinery such as the Fourier transform and the Poisson summation formula, but in the language of adeles. Time permitting, we will then consider automorphic forms for the general linear group of degree 1 over the adeles.