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SUMMARY:Tony Feng (MIT/IAS)
DTSTART:20201019T230000Z
DTEND:20201019T235000Z
DTSTAMP:20260423T024757Z
UID:UCLA_NTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/12/
 ">Equivariant localization and base change functoriality</a>\nby Tony Feng
  (MIT/IAS) as part of UCLA Number Theory Seminar\n\n\nAbstract\nLafforgue
  and Genestier-Lafforgue have constructed the global and (semisimplified
 ) local Langlands correspondences for arbitrary reductive groups over func
 tion fields. I will explain some recently established properties of these
  correspondences regarding base change functoriality: existence of transfe
 rs for mod $p$ automorphic forms through $p$-cyclic base change in the glo
 bal correspondence\, and Tate cohomology realizes $p$-cyclic base change i
 n the mod $p$ local correspondence. In particular\, the local statement ve
 rifies a conjecture of Treumann-Venkatesh.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/12/
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