Research-Prismatic F-crystals and (log-)crystalline representations

Research

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Prismatic F-crystals and (log-)crystalline representations

Speaker: Heng Du (Tsinghua University)
Time: Dec 28, 2021, 16:00-17:00
Location: Room 518, Block 3, Hui Yuan

Abstract

Let O_K be a complete discrete valuation ring with perfect residue field, then Bhatt-Scholze recently proved that the category of lattices of crystalline representations of G_K is equivalent to the category of prismatic F-crystals on the absolute prismatic site over O_K. I will discuss two possible generalizations of their result. This talk is based on a joint work with Tong Liu and a joint work in progress with Tong Liu, Yong Suk Moon and Koji Shimizu.