RTG Seminar on Number Theory Seminar

In this talk, we study the unramified spectrum of a homogeneous spherical variety X . We will discuss Sakellaridis's work on computing the eigenfunctions on spherical varieties under the action of the spherical Hecke algebra, which generalise the classical Casselman Shalika type formula. We will also discuss a variant of this formula, which involves the dual group of the spherical variety X and certain quotient of L-functions. As an application, we will present the unramified Plancherel formula for X.
Speaker(s): Jialiang Zou (UM)