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SUMMARY:Jonathan Wang (MIT)
DTSTART:20201009T143000Z
DTEND:20201009T160000Z
DTSTAMP:20260423T004702Z
UID:CAFAS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/5/">Lo
 cal L-values and geometric harmonic analysis on spherical varieties</a>\nb
 y Jonathan Wang (MIT) as part of Columbia Automorphic Forms and Arithmetic
  Seminar\n\n\nAbstract\nAlmost a decade ago\, Sakellaridis conjectured a v
 ast generalization of the Rankin-Selberg method to produce integral repres
 entations of L-functions using affine spherical varieties. The conjecture 
 is still very much unknown\, but generalized Ichino-Ikeda formulas of Sake
 llaridis-Venkatesh relate the global problem to certain problems in local 
 harmonic analysis. I will explain how we can use techniques from geometric
  Langlands to compute integrals which give special values of unramified lo
 cal L-functions over a local function field\, for a large class of spheric
 al varieties. This is joint work with Yiannis Sakellaridis. Our results gi
 ve new integral representations of L-functions (in a right half plane)​ 
 over global function fields when the integral "unfolds".\n
LOCATION:https://researchseminars.org/talk/CAFAS/5/
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