Conference on Arithmetic Geometry in honor of Luc Illusie

Collection Conference on Arithmetic Geometry in honor of Luc Illusie

Organizer(s) Lei Fu (Tsinghua University), Fabrice Orogozo (CNRS&IMJ-PRG), Weizhe Zheng (MCM, AMSS, CAS)

Date(s) 07/06/2021 - 11/06/2021

00:00:00 / 00:00:00

18 22

The absolute prismatic site

By Bhargav Bhatt

The absolute prismatic site of a p-adic formal scheme carries and organizes interesting arithmetic and geometric information attached to the formal scheme. In this talk, after recalling the definition of this site, I will discuss a stacky approach to absolute prismatic cohomology and its concomitant structures (joint with Lurie, and 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 Galois representations of the Galois group of a local field in terms of F-crystals on the site (joint with Scholze).

Information about the video

Date of recording 10/06/2021
Date of publication 10/06/2021
Institution IHES
Licence CC BY-NC-ND
Language English
Audience Researchers
Director(s) Mandarine Audiovisuel
Format MP4

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