Functoriality of endoscopic transfer for general symplectic and even orthogonal groups

Bin Xu
Tsinghua University, China

Date(s) : 17/06/2021   iCal
14 h 00 min - 15 h 00 min

Langlands’ functoriality conjecture reveals a deep connection of automorphic representations among different reductive groups. Most known cases of functoriality fit into the theory of endoscopy, which concerns a group G and its endoscopic groups. We study the endoscopic theory for G being a quasisplit general symplectic or even orthogonal group over a number field, and prove the functoriality of endoscopic transfer for tempered automorphic representations of these groups under some technical assumption.


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