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Spherical varieties and L-functions via geometric Langlands

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: Thursday, November 5, 2020 15:30 - 17:00
Speaker: Jonathan Wang (MIT Mathematics)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tamas Hausel

The relative Langlands program, as developed by Sakellaridis and Venkatesh, conjectures relationships between spherical varieties and automorphic L-functions. In the local setting, this is conjecturally related to the computation of asymptotics, or more precisely nearby cycles, of an IC complex on the formal arc space of a spherical variety. I explain my joint work with Yiannis Sakellaridis where we establish this connection and compute this nearby cycles for a nice class of spherical varieties using perverse sheaves and the geometry of semi-infinite orbits and affine Grassmannians.

 


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