Igusa stacks and exotic Hecke correspondences

Speaker:Pol van Hoften (VU Amsterdam)
Schedule:Tues. & Thur., 9:50-11:25 am, Jan. 16-Jan. 18, 2024
Venue:Lecture Hall B725, Floor 7, Tsinghua University Shuangqing Complex Building A(清华大学双清综合楼A座七层B725报告厅);Zoom Meeting ID: 271 534 5558 Passcode: YMSC

Title I: Igusa stacks and exotic Hecke correspondences I

Abstract: Igusa stacks are conjectural p-adic analytic objects related to Shimura varieties, which were conjectured to exist by Scholze. In this talk I aim to give motivation for this conjecture, as well as a review of some of the objects involved. I will then discuss my joint work with Patrick Daniels, Dongryul Kim and Mingjia Zhang (张明嘉) in which we prove the conjecture for Shimura varieties of Hodge type (this extends the PhD thesis of Mingjia Zhang which deals with the case of PEL type AC Shimura varieties).

Title II: Igusa stacks and exotic Hecke correspondences II

Abstract: In this talk, I will discuss cohomological consequences of the existence of Igusa stacks, such as torsion vanishing results. Additionally, I will explain some of the ideas of the proofs of the existence of Igusa stacks.

*The whole lecture series has four lectures, and the later two will be in MCM.

Videos:  http://archive.ymsc.tsinghua.edu.cn/pacm_course?html=Igusa_stacks_and_exotic_Hecke_correspondences.html