The absolute prismatic site


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April 21, 2021 3:00 pm - 4:00 pm
via Zoom Video Conferencing

Bhargav Bhatt - University of Michigan

The absolute prismatic site of a p-adic formal scheme carries interesting arithmetic and geometric information attached to the formal scheme. In this talk, after recalling the definition of this site, I will discuss an algebro-geometric (stacky) approach to absolute prismatic cohomology and its concomitant structures (joint with Lurie, and partially due independently to Drinfeld). As a geometric application, I'll explain Drinfeld's refinement of the Deligne-Illusie theorem on Hodge-to-de Rham degeneration. On the arithmetic side, I'll describe a new classification of crystalline representations of the Galois group of a local field in terms of F-crystals on the site (joint with Scholze).


Password: The order of the permutation group on 9 elements.