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UID:3628@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210121T160000
DTEND;TZID=Europe/Paris:20210121T170000
DTSTAMP:20210114T093312Z
URL:https://www.i2m.univ-amu.fr/evenements/intersection-complexes-and-unra
 mified-l-factors-jonathan-wang/
SUMMARY:Jonathan Wang (MIT\, Cambridge): Intersection complexes and unramif
 ied L-factors - Jonathan Wang
DESCRIPTION:Jonathan Wang: Part of the aim of the relative Langlands progra
 m is to produce new integral representations of automorphic L-functions. T
 he program is still very much in progress\, but generalized Ichino-Ikeda f
 ormulas of Sakellaridis-Venkatesh relate the global problem to certain pro
 blems in local harmonic analysis on spherical varieties. In particular\, c
 ertain integrals involving the intersection complex of the formal arc spac
 e of a spherical variety are conjecturally equal to special values of unra
 mified L-functions over a local function field. I will explain how we use 
 techniques from geometric representation theory to establish this equality
  for a large class of spherical varieties. This is joint work with Yiannis
  Sakellaridis.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/01/Jonathan_Wang.jpg
CATEGORIES:Séminaire,Représentations des Groupes Réductifs,Virtual
 event
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