报告题目 (Title)：Gan-Gross-Prasad problems for Deligne-Lusztig characters and local descent for depth zero representations（Deligne-Lusztig特征标的Gan-Gross-Prasad问题和0深度超尖表示的下降）

报告人 (Speaker)：马家骏 副教授 (厦门大学)

报告时间 (Time)：2023年09月27日(周三) 10:30-11:30

报告地点 (Place)：腾讯会议716-821-354 (无密码)

邀请人(Inviter)：何海安

主办部门：理学院数学系

报告摘要：This talk will present a joint work with Dongwen Liu and Fang Shi. We will first recall the basic setting of the Gan-Gross-Prasad conjecture. Then, we delve into the finite field case and will explain how to reduce the GGP problem into combinatoric problems for the Deligne-Lusztig characters following Reeder's approach. In the end, we will present an application to the p-adic group setting where we determined the local descent to a unitary group of depth-zero supercuspidal representations of the general linear group. These are concrete examples of the Langlands' functorality.