On weighted non-standard fundamental lemma

BIMSA-YMSC Tsinghua Number Theory Seminar

Organizers：

Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu

Speaker：

Fei Chen (YMSC)

Time：

Mon., 10:00-11:00 am, Dec. 9, 2024

Venue：

C654, Shuangqing Complex Building A

Title：

On weighted non-standard fundamental lemma

Abstract：

The twisted weighted fundamental lemma is a key ingredient of stabilization of the twisted trace formula. Waldspurger proved that the twisted weighted fundamental lemma follows from two statements: the weighted fundamental lemma for Lie algebras and a non-standard version of it. The first one was proved by Chaudouard–Laumon (in split case). The second one was claimed in their paper but no precise proof has been written down. In this talk, we will review some background and then sketch how the weighted non-standard fundamental lemma follows from their work.