Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » On the Hodge-Tate period map for Shimura varieties of Hodge type

On the Hodge-Tate period map for Shimura varieties of Hodge type

Automorphic forms, Shimura varieties, Galois representations and L-functions December 01, 2014 - December 05, 2014

December 02, 2014 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Ana Caraiani (Imperial College, London)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14111

Abstract

The Hodge-Tate period map is an important, new tool for studying the geometry of Shimura varieties, p-adic automorphic forms and torsion classes in the cohomology of Shimura varieties. It is a G(A_f)-equivariant map from a perfectoid Shimura variety into a flag variety with only an action of G(Q_p) and can be thought of as a p-adic analogue of the Borel embedding. In this talk, I will describe a canonical construction of the Hodge-Tate period map and of automorphic vector bundles for Shimura varieties of Hodge type. This is part of ongoing joint work with Peter Scholze.

Supplements
22425?type=thumb Notes Caraiani 305 KB application/pdf Download
Video/Audio Files

14111

H.264 Video 14111.mp4 359 MB video/mp4 rtsp://videos.msri.org/data/000/022/316/original/14111.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.