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.

 

More Information:

Date:
November 5, 2020
3:30 pm – 5:00 pm

Speaker:
Jonathan Wang, MIT Mathematics

Location:
https://mathseminars.org/seminar/AGNTISTA

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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