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".

representation theory

Audience: researchers in the topic

MIT Lie groups seminar

Series comments: Description: Research seminar on Lie groups

This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.