中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
表示论讨论班
Speaker: 徐斌（清华大学）
Inviter: 聂思安
Language: Chinese
Title: A correspondence of Arthur packets between real unitary groups and p-adic special odd orthogonal groups
Time & Venue: 2026年10月23日（星期五）10:30-11:30 南楼N820
Abstract: We establish an explicit correspondence of certain Arthur packets between real unitary groups and p-adic special odd orthogonal groups. As an application, one can compute the Arthur packets of real unitary groups by translating the results from the p-adic side. The main feature of our proof is to relate the Zuckerman's translation functor on the real side with the Jacquet functor on the p-adic side. To achieve this, we construct a correspondence of stacks of Langlands parameters with fixed infinitesimal characters between the relevant real and p-adic groups. It also allows us to relate the Kazhdan–Lusztig polynomials and the microlocal geometry between real and p-adic cases. This is joint work with Taiwang Deng, Chang Huang and Qixian Zhao.