学术报告

Local Langlands correspondence for regular supercuspidal representations of GL（n）

发布人：发布时间： 2019-11-25

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**题目: **Local Langlands correspondence for regular supercuspidal representations of GL(n)

**报告人: **时本一树博士 (中央研究院数学研究所)

**时间:** 2019年12月6日 下午4:00-6:00

**地点: **西大楼308教室

**摘要:** Building on J.-K. Yu's construction of supercuspidal representations, Kaletha recently defined the class of regular supercuspidal representations for tamely ramified p-adic groups (of odd residual characteristic) and made a profound study of these representations. In particular, he constructed (a candidate of) the local Langlands correspondence for regular supercuspidal representations and showed a number of desired properties.

In this talk we will explain that Kaletha's construction indeed gives the local Langlands correspondence when the group is GL(n). A key fact is that in this case regular supercuspidal representations are nothing other than essentially tame representations intensively studied by Bushnell-Henniart and later by Tam.

This is a joint work with Masao Oi.

**邀请人：**陈柯 老师