Nov 5, 2020
Spherical varieties and L-functions via geometric Langlands
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date: November 5, 2020 |
3:30 pm –
5:00 pm
Speaker:
Jonathan Wang, MIT Mathematics
Location: https://mathseminars.org/seminar/AGNTISTA
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.
