Endoscopic fundamental lemma for unitary groups and the Jacquet-Rallis transfer

Algebra and Number Theory Seminar
Event time: 
Tuesday, October 23, 2018 - 4:15pm
LOM 205
Jingwei Xiao
Speaker affiliation: 
Massachusetts Institute of Technology
Event description: 

We give another proof of the endoscopic fundamental lemma (theorem of Laumon-Ngo) for unitary Lie algebras in characteristic 0.  We study the compatibility between Fourier transform and transfer and we prove that the compatibility in the Jacquet-Rallis setting, after taking limits using germ expansions, will imply the compatibility in the endoscopic setting for unitary group.