ruth wild

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: Room 309, Robert-Mayer Straße 6-10 (📍)

Time: 2-6pm on several Wednesdays (see below)

Program

Schedule

(updated on 10/07)

Oct 15	0	Ruth	Introduction
	1	Benjamin	Rigid and perfectoid spaces
	2	Magnus	v-topology and diamonds
Nov 12	3	Dmytro	classical p-adic Hodge-Tate decomposition
	4	Jakob	Hodge-Tate spectral sequence for Gm
Nov 19	5	Magnus	Rigid analytic groups 1
	6	Ruth	Rigid analytic groups 2
Dez 10	7	Katharina	Relative Picard varieties
	8	Jon	Hodge-Tate sequence for relative Picard varieties
Jan 21	9	Margherita	Reduction of structure groups and rigidification
	10	Ronald	Invertible B-modules via the exponential
Feb 4	11		The local correspondence
	12		Canonical Higgs fields for pro-étale bundles
Feb 11	13		Proof of the correspondence
	14		Bonus talk: Simpson gerbe

Gaus AG on the p-adic Simpson correspondence