Người báo cáo: Đỗ Ngọc Diệp
Thời gian: 9h, thứ 6, ngày 30/9/2016
Địa điểm: Phòng 109, Nhà A5, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy Hà Nội
Tóm tắt: For two distinguished prime $ell$ and $p$, we prove a $ell$-adic version of the Poisson formula for reductive $p$-adic groups. In order to do this we write an identity for the trace of regular representation and orbital integrals. Next we reduce them to orbital integrals for endoscopy groups and look at this as the special value of $L$-function at $s=0$. And finally show that it is equal to the special value of motivic $L$-function at $s=0$.
Keywords. Galois representation, Shimura variety, special values of L-function, trace formula, Poisson summation formula |
