Towards the explicit description of local descent of symplectic supercuspidal representations of GL(2n)
Time: Mon, 25 Nov 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Jiajun Ma (Shanghai Jiaotong University)
Abstract:
Descent is the “inverse” of Langlands functorial lift. The descent of symplectic supercuspidal representations of GL(2n) to SO(2n+1) over p-adic fields was established by Dihua Jiang, Chufeng Nien and Yujun Qin. In this talk, I will first give an explicit description of the local descent in the depth zero case. Then I will discuss a conjectural description in the general case. This is an ongoing joint work with Dongwen Liu, Chufeng Nien and Zhicheng Wang.