September 16 - 20, 2019

Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers:Johannes Anschütz (Bonn), Arthur-César Le Bras (Paris), Andreas Mihatsch (Bonn)

Description:

The Emerton-Gee stack is an object whose geometric properties reflect deep results about p-adic Galois representations of local fields. It is constructed using (phi,Gamma)-modules and Breuil-Kisin-Fargues modules with coefficients, and the study of its geometry is intimately connected with important problems in the p-adic Langlands program, including generalizations of Serre's modularity conjecture and the Breuil-Mezard conjecture. The goal of the Hausdorff school is to give a detailed and example-based introduction, accessible to PhD students and post-docs in the field, to the Emerton-Gee stack: its construction, its properties and some of its applications. Related topics, such as the relation between Breuil-Kisin modules and p-divisible groups, or the theory of (phi,Gamma)-modules may be explored as well.

Lecture Series by:

• Matthew Emerton (University of Chicago)

• Toby Gee (Imperial College London)

• Bao Le Hung (Northwestern University)

Single Speakers:

• Sebastian Bartling (IMJ-PRG)
• Axel Kölschbach Ortego (Universität Bonn)
• Ariane Mézard (Sorbonne Université)
• James Newton (King´s College London)
• Vytautas Paskunas (Universität Duisburg-Essen)

Click here for the abstract of Emerton and Gee. These abstracts contain suggestions for your background reading.

Click here for the abstract of Le Hung.

Click here for the notes of the course of Bao Le Hung.

Click here for the notes of Matthew Emerton.

Click here for the notes of Toby Gee.