Summer School on the Langlands Program

Collection Summer School on the Langlands Program

Organizer(s) Pierre-Henri Chaudouard, Wee Teck Gan, Tasho Kaletha, Yiannis Sakellaridis
Date(s) 11/07/2022 - 29/07/2022
linked URL
00:00:00 / 00:00:00
49 58

We discuss vanishing theorems for the cohomology of Shimura varieties with torsion coefficients, under a genericity condition at an auxiliary prime. We describe two complementary approaches to these results, due to Caraiani-Scholze and Koshikawa, both of which rely on the geometry of the Hodge-Tate period morphism for the corresponding Shimura varieties. Finally, we explain how these vanishing results can be applied to local-global compatibility questions for the Galois representations constructed in the first lecture.

Information about the video

Last related questions on MathOverflow

You have to connect your account with mathoverflow to add question

Ask a question on MathOverflow


  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
  • Get notification updates
    for your favorite subjects
Give feedback
Loading the web debug toolbar…
Attempt #