Colloquium
Thursday December 13th, 2018
Time: 4:00 PM - 5:00 PM
Title: Interpolating p-adic cohomology theories
Speaker: Bhargav Bhatt, University of Michigan
Location: Math Tower P-131
Abstract:
Integration of differential forms against cycles on a complex manifold helps relate de Rham cohomology to singular cohomology, which forms the beginning of Hodge theory. The analogous story for p-adic manifolds, which is the subject of p-adic Hodge theory, is richer due to a wider variety of available cohomology theories (de Rham, etale, crystalline, and more) and torsion phenomena. In this talk, I will give a bird's eye view of this picture, guided by the recently discovered notion of prismatic cohomology that provides some cohesion to the story. (Based on joint work with Morrow and Scholze as well as work in progress with Scholze.)