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Cohomology of prismatic crystals

By Yichao Tian

Appears in collection : Conference on Arithmetic Geometry in honor of Luc Illusie

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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