Philadelphia Area Number Theory Seminar

Wednesday, November 6, 2019 - 2:15pm

Michael Woodbury

Columbia University

An important component of the prime number theorem is the fact from elementary group theory that the characters of a finite group are orthogonal to each other. This fact can be interpreted as an orthogonality relation for GL(1) automorphic forms, and in the case of GL(2) and GL(3) has a distinguished history and many applications including results about the distribution of Fourier coefficients of modular forms, and low lying zeros of L-functions. I will report on joint work with Dorian Goldfeld and Eric Stade in which we generalize these methods to GL(4).