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SUMMARY:Charlotte Chan (University of Michigan)
DTSTART:20231017T203000Z
DTEND:20231017T213000Z
DTSTAMP:20260419T151326Z
UID:BC-MIT/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/4/">S
 upercuspidal representations and very regular elements</a>\nby Charlotte C
 han (University of Michigan) as part of BC-MIT number theory seminar\n\nLe
 cture held in Maloney 560 at Boston College.\n\nAbstract\nIn the 1990s\, H
 enniart proved that certain supercuspidal\nrepresentations of p-adic GLn a
 re characterized by their character\nvalues on very regular elements\, a s
 pecial class of regular semisimple\nelements on which character formulae a
 re remarkably simple. Henniart's\nresult has seen many interesting applica
 tions---for example\, in\ndetermining algebraic descriptions of geometrica
 lly arising\nrepresentations. In this talk\, we'll discuss a generalizatio
 n of\nHenniart's theorem to general G. As a byproduct of our methods\, we\
 nobtain an easy\, non-cohomological condition distinguishing unipotent\nsu
 percuspidal representations\, yielding a p-adic analogue of Lusztig's\ncri
 terion for finite fields. This is joint work with M. Oi.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/4/
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