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SUMMARY:Huajie Li (Aix-Marseille Univ.)
DTSTART:20210914T170000Z
DTEND:20210914T180000Z
DTSTAMP:20260423T010138Z
UID:UAANTS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/22/">
 On the comparison of an infinitesimal variant of Guo-Jacquet trace formula
 e</a>\nby Huajie Li (Aix-Marseille Univ.) as part of University of Arizona
  Algebra and Number Theory Seminar\n\n\nAbstract\nGuo-Jacquet have propose
 d a comparison of two relative trace formulae in order to gerneralise Wald
 spurger’s well-known theorem relating toric periods to central values of
  automorphic L-functions for $GL(2)$. In our previous works\, we have esta
 blished an infinitesimal variant of Guo-Jacquet trace formulae and the wei
 ghted fundamental lemma in this case. In this talk\, we shall explain seve
 ral local results for the comparison of regular semi-simple terms. In part
 icular\, we shall talk about certain identities between Fourier transforms
  of local weighted orbital integrals\, which are proved by Waldspurger’s
  global method on the endoscopic transfer. During the proof\, we shall als
 o need some results in local harmonic analysis such as local trace formula
 e for certain $p$-adic infinitesimal symmetric spaces.\n
LOCATION:https://researchseminars.org/talk/UAANTS/22/
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