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