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SUMMARY:Jonathan Wang (MIT Mathematics)
DTSTART:20201105T143000Z
DTEND:20201105T160000Z
DTSTAMP:20260423T005758Z
UID:AGNTISTA/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/23/
 ">Spherical varieties and L-functions via geometric Langlands</a>\nby Jona
 than Wang (MIT Mathematics) as part of Algebraic Geometry and Number Theor
 y seminar - ISTA\n\n\nAbstract\nThe relative Langlands program\, as develo
 ped by Sakellaridis and Venkatesh\, conjectures relationships between sphe
 rical varieties and automorphic L-functions. In the local setting\, this i
 s conjecturally related to the computation of asymptotics\, or more precis
 ely nearby cycles\, of an IC complex on the formal arc space of a spherica
 l variety. I explain my joint work with Yiannis Sakellaridis where we esta
 blish this connection and compute this nearby cycles for a nice class of s
 pherical varieties using perverse sheaves and the geometry of semi-infinit
 e orbits and affine Grassmannians.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/23/
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