Yeongseong Jo, Ohio State University

The local exterior square L-Function for GL(n)

Abstract: In mid 1990s Cogdell and Piatetski-Shapiro embarked a project to compute local exterior square L-functions for irreducible admissible generic representations of GL(n). They defined exceptional poles of local Rankin-Selberg integrals and associated them with pairs of Bernstein-Zelevinsky derivatives of representations. In this talk, we explain an analogous notion of exceptional poles for local exterior square L-functions due to Jacquet and Shalika and related them with Shalika functionals. Time permitting, we describe equality of exterior square arithmetic L-functions via Langlands parameter and analytic L-functions for GL(n) through integral representations.