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A short survey of Prismatic Cohomology (after P. Scholze and B. Bhatt), II

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Alexei Pantchichkine
University Grenoble Alpes/MPIM
Die, 2019-04-02 14:00 - 15:00
MPIM Lecture Hall

We will discuss the recently suggested definition of prismatic cohomology that unifies several integral cohomology theories in p-adic geometry. We briefly start with an introduction of prisms as generalization of perfectoid rings, and then describe available constructions of a prismatic site:

1) a variant of the complex $\Delta_{R/A}$$ (2016);
2) construction via topological Hochschild homology (2018).

It requires as input a highly non-trivial calculation from homotopy theory
due to Bockstedt.

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