Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Alexei Pantchichkine
Affiliation:

University Grenoble Alpes/MPIM
Date:

Tue, 2019-04-02 14:00 - 15:00 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.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/5312