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SUMMARY:Jacob Haley (University of Michigan)
DTSTART:20201016T153000Z
DTEND:20201016T160000Z
DTSTAMP:20260418T110855Z
UID:MRTC2020/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MRTC2020/2/"
 >Parametrizations of Unramified Tori</a>\nby Jacob Haley (University of Mi
 chigan) as part of The 2020 Paul J. Sally\, Jr. Midwest Representation The
 ory Conference\n\n\nAbstract\nIf G is a reductive group over a p-adic fiel
 d k\, then DeBacker gives a paramaterization of the G(k)-conjugacy classes
  of maximal unramified k-tori using Bruhat–Tits theory. On the other han
 d\, for classical groups\, Waldspurger gives a parameterization in terms o
 f triples of partitions. Given one of these triples\, Waldspurger construc
 ts a regular semisimple element for the maximal unramified torus by defini
 ng an endomorphism on an algebra whose structure is determined by the part
 s of the three partitions. After giving an overview of the two parameteriz
 ations\, we will give a comparison\, emphasizing the case of the symplecti
 c group.\n
LOCATION:https://researchseminars.org/talk/MRTC2020/2/
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