Department of Mathematics

Algebra

  •  Jonathan Wang, MIT
  •  Intersection complexes and unramified L-factors
  •  04/21/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Preston Wake (wakepres@msu.edu)

A series of conjectures of Braverman-Kazhdan, Sakellaridis and Sakellaridis-Venkatesh propose that affine spherical varieties should provide a source for new integral representations of automorphic L-functions. This global problem is conjecturally (and sometimes provably) related to a certain local problem in harmonic analysis. In particular, it is conjectured that unramified local L-factors are related to intersection complexes of formal arc spaces of spherical varietes. I will explain how we establish this connection for a large class of spherical varieties over a local function field, using techniques from geometric representation theory. This is joint work with Yiannis Sakellaridis. 

 

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Michigan State University
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