地点:数学高等研究院报告厅

时间: 9月23日，16:30 - 17:30

主讲人: Xinwen Zhu 朱歆文 (Stanford University)

摘要：I will discuss the Deligne–Lusztig theory for Jacobi groups, by which I mean non-reductive groups of the form G=H \times M, where H is the Heisenberg group attached to a symplectic vector space (V,\eta) and M is a reductive group acting on (V,\eta). I will briefly explain the motivation for developing such a theory (Kim–Yu’s construction of types of p-adic groups) and present the main geometric results on the cohomology of Weil–Heisenberg Deligne–Lusztig varieties. If time permits, I will put the discussion in a more general framework of the geometric representation theory of Jacobi groups (including Hecke categories, character sheaves, ...). This is a joint work with Charlotte Chan and Tasho Kaletha.