Representation Theory and Noncommutative Geometry, Paris

Endoscopic character identities for depth-zero supercuspidal representations of SL_2

6 mars 2025, 15:00

1h

Amphitheater Darboux (IHP)

Orateur

Roger Plymen

Description

We consider the depth-zero supercuspidal $L$-packets of ${\mathrm{SL}}_2$. With the aid of the classical character formulas of Sally-Shalika, we prove the endoscopic character identities. Our account fills a gap in the extensive literature on ${\mathrm{SL}}_2$. Joint work with Anne-Marie Aubert, see arXiv:2410.20183v2