The University of Arizona

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

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

Series: Algebra and Number Theory Seminar
Location: ENR2 S395
Presenter: Jingwei Xiao, MIT

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. 

 

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