Featured Speaker : Masao OI , Kyoto University

Title :  Twisted endoscopic character relation for Kaletha's regular supercuspidal L-packets

Abstract : Recently Kaletha constructed the local Langlands correspondence (i.e., L-packets and their L-parameters) for a wide class of supercuspidal representations.  In this talk, I would like to discuss my ongoing work on the twisted endoscopic character relation for Kaletha's supercuspidal L-packets.

The strategy is to imitate Kaletha's proof of the standard endoscopic character relation in the setting of twisted endoscopy.  Thus first I am going to review Kaletha's construction of supercuspidal L-packets and his proof of the standard endoscopic character relation.  Then I will explain a few key points in the twisting process with an emphasis on Waldspurger's philosophy "l'endoscopic tordue n'est pas si tordue".