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) 6/7/21 - 6/11/21
00:00:00 / 00:00:00
11 22

Cohomology of prismatic crystals

By Yichao Tian

Prismatic crystals are natural analogues of classical crystalline crystals on prismatic sites, which were introduced by Bhatt and Scholze. In this talk, I will explain some general properties such objects on the prismatic site for a smooth variety over the base. The main result is a finiteness theorem for the cohomology of prismatic crystals on proper and smooth varieties.

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