Supercuspidal representations and very regular elements
Charlotte Chan (University of Michigan)
Abstract: In the 1990s, Henniart proved that certain supercuspidal representations of p-adic GLn are characterized by their character values on very regular elements, a special class of regular semisimple elements on which character formulae are remarkably simple. Henniart's result has seen many interesting applications---for example, in determining algebraic descriptions of geometrically arising representations. In this talk, we'll discuss a generalization of Henniart's theorem to general G. As a byproduct of our methods, we obtain an easy, non-cohomological condition distinguishing unipotent supercuspidal representations, yielding a p-adic analogue of Lusztig's criterion for finite fields. This is joint work with M. Oi.
number theory
Audience: researchers in the topic
| Organizers: | Sol Friedberg*, Benjamin Howard, Dubi Kelmer, Spencer Leslie, Keerthi Madapusi Pera, Bjorn Poonen*, Andrew Sutherland*, Wei Zhang* |
| *contact for this listing |