Mathematics Colloquium: Bessel Functionals for Representations of GSp(4)
4:10pm, Neill Hall
Dr. Brooks Roberts
One approach to studying modular forms involves the representation theory of the underlying group. For example, classical modular forms can be viewed as automorphic representations of the general linear group GL(2) over the adeles of the rational numbers. Automorphic representations, in turn, are infinite tensor products of representations of GL(2) over the real numbers and the p-adic numbers as p runs through the primes. This fact motivates the study of representations of groups like GL(2) over local fields. The group GSp(4) of symplectic similitudes is the group behind the theory of Siegel modular forms of degree two, and in this talk we will describe some results about Bessel functionals on the irreducible, smooth representations of GSp(4) over a non-archimedean local field.