u-torsions in Breuil-Kisin prismatic cohomology

Abstract: I shall report a joint work with Tong Liu, in which we discuss a tiny piece of the Breuil--Kisin prismatic cohomology module of a general smooth proper scheme X over a p-adic ring of integers O_K. I will try to explain why this tiny piece can be interesting from both algebro-gemetric and number-theoretic point of views. Also planned is a concrete description of an interesting example extracted from the work of Bhatt--Morrow--Scholze, giving rise to an example negating a prediction that Breuil made some 20 years ago.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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