Venue: Lecture Hall of IASM

Time: March 18, 15:15 - 16:15

Speaker: 马家骏 Jiajun Ma (Xiamen University)

Abstract: The theory of semisimple characters and endo-parameters provides a powerful framework for studying smooth representations of p-adic classical groups. Initiated by Bushnell, Kutzko, and Henniart for general linear groups, this theory was later extended to classical groups through the work of Kurinczuk, Skodlerack, and Stevens. Endo-parameters can be viewed as restrictions of Langlands parameters to the wild inertial group, and they provide a decomposition of the category of smooth representations into subcategories that are coarser than the classical Bernstein decomposition. In this talk, I will present the results on a theta correspondence for semisimple characters and show that endo-parameters are compatible with theta correspondence. Furthermore, I will present a reduction-to-depth-zero theorem for theta correspondence. This is joint work with Loke, Stevens, and Trias.