Speaker: Jerrod Smith

In this talk, we discuss cuspidality of representations of p-adic groups in a relative setting. Let G be a connected reductive group over a p-adic field F and $\theta$ is an involution on G. Let H be the subgroup fixed by $\theta$. One then can define H-relative supercuspidal representations via matrix coefficients. We will discuss the behavior of supercuspidality under induction.