Period Integrals of Automorphic Forms and the Residue Method

Explore advanced mathematical concepts in this one-hour lecture from the AQFT Lecture Series, where Brandeis mathematician Omer Offen delves into period integrals of automorphic forms through detailed examples. Learn about the residue method developed by Jacquet and Rallis, and discover its recent applications in studying new periods on the residual automorphic spectrum of the symplectic group, based on collaborative work with Friedberg and Ginzburg. Gain insights into the mathematical foundations and contemporary developments in this specialized field of algebraic quantum field theory.