Tuesday, April 16, 2019
4:00 PM - 5:00 PM
Linde Hall 310

Mathematics Colloquium

Shimura varieties, Galois representations, and torsion classes
Ana Caraiani, Department of Mathematics, Imperial College,

In this talk, I will describe joint work in preparation with Peter Scholze on torsion in the cohomology of certain unitary Shimura varieties. I will explain how the theory of perfectoid spaces and p-adic Hodge theory give new insights into the geometry and cohomology of Shimura varieties. I will also mention applications of these results to elliptic curves over imaginary quadratic fields, joint with Allen, Calegari, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne.

For more information, please contact Mathematics Department by phone at 4335 or by email at mathinfo@caltech.edu.