Jingwei Xiao (Columbia University)
Endoscopic fundamental lemma for unitary groups and the Jaquet-Rallis transfer

Abstract: We give another proof of the ndoscopic fundamental lemma (a theorem of Laumon--Ngo) on unitary Lie algebras in characteristic 0. We study the compatibility between Fourier transform and transfer, and we prove that the compatibility in Jaquet-Rallis setting implies the compatibility in the endoscopic setting for unitary group.