Gaus AG on the p-adic Simpson correspondence

In this seminar, we want to understand Heuer's proof of the p-adic Simpson correspondence as in [1], while also covering some of his previous work and necessary prerequisites.

this is the first semester of a two semester effort to learn more about the p-adic simpson correspondence, with the interpretation in terms of moduli spaces as in [2] deferred to the summer.


Organizers: Magnus Carlson, Ruth Wild

Location: tba, Robert-Mayer Straße 6-10 (📍)

Time: tba

So far, the program covers the first 6 talks. We will add the remaining talks as we go along.

Program


Schedule

(updated on 10/07)

0 tba Magnus & Ruth Introduction
1 tba tba Rigid and perfectoid spaces
2 tba tba v-topology and diamonds
3 tba tba classical p-adic Hodge-Tate decomposition
4 tba tba Hodge-Tate spectral sequences for Gm
5 tba tba Relative Picard varieties
6 tba tba Hodge-Tate sequences for relative Picard varieties