EVENT DETAILS AND ABSTRACT

Title: Stable vectors in the Moy-Prasad filtration
Speaker: Jessica Fintzen
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

Reeder and Yu gave recently a new construction of certain supercuspidal representations of p-adic reductive groups (called epipelagic representations). Their construction relies on the existence of stable vectors in the first Moy-Prasad filtration quotient under the action of a reductive quotient. We will explain these ingredients and present a theorem about the existence of such stable vectors for all primes p. This builds on a result of Reeder and Yu about the existence of stable vectors for large primes. Some of the above work forms part of a joint research project with Beth Romano.