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[Lecture] Some Vanishing Results for the Rational Completed Cohomology of Shimura Varieties
May. 21, 2024
Speaker: Kai-Wen Lan(University of Minnesota)

Time: 16:00-17:00 p.m., May 21, 2024, GMT+8

Venue: Rm 77201, Jingchunyuan #78, BICMR, PKU


I will start with some introduction to Shimura varieties and their completed cohomology, and report on my joint work in progress with Lue Pan which shows that, in the rational p-adic completed cohomology of a general Shimura variety, "sufficiently regular" infinitesimal weights (whose meaning will be explained) can only show up in the middle degree.  I will give some examples and explain the main ingredients in our work, if time permits.

Source: Beijing International Center for Mathematical Research, PKU