GRK-Seminar Sommersem. 2024

RTG Seminar Summer term 2024

The Thursday morning seminar (10:15-11:45 in WSC-N-U-3.05) will be the “Research Training Group Seminar” where members of the RTG (PhD students, post-docs,…) present their results. Sometimes, we also have speakers from other places. Depending on the number of speakers and on the proposed topic, a speaker could use one or two sessions.

11.4.2024 Julian Quast On local Galois deformation rings
18.4.2024 Yitong Wang (Orsay) Multivariable $(\phi,\Gamma)$-modules and local-global compatibility
25.4.2024 Sebastian Bartling Moduli spaces of nilpotent displays
2.5.2024 Ludvig Modin Graded unipotent quotients over a base scheme
16.5.2024 no talk
23.5.2024 Laurent Berger (ENS Lyon) Bounded functions on the character variety
6.6.2024 RTG applicants Public talks
13.6.2024 Guillermo Gamarra tba
20.6.2024 Lukas Bröring tba
27.6.2024 Symposium Düsseldorf/Essen/Wuppertal
4.7.2024 ALGANT Master Students Thesis Rehearsal
11.7.2024 Federica Santi tba
18.7.2024 Program discussion: Research seminar Winter 24/25

Abstracts

Ludvig Modin: Graded unipotent quotients over a base scheme

We present a new proof of the existence of projective geometric quotients for actions of a graded unipotent group acting on a projective scheme for actions that do not have unipotent stabilizers on the attracting locus. The proof works over a base scheme and without assuming the action is linear, generalizing from the original theorem which works for linear actions on complex projective varieties. If time permits we will explain a generalization of this result to Harder-Narasimhan type strata of algebraic stacks, and how one can relax the unipotent stabilizer assumption.

Laurent Berger: Bounded functions on the character variety

The character variety $X$ is a rigid analytic curve defined by Schneider and Teitelbaum, in their work on $p$-adic Fourier theory. Here is a natural question about it: what is the ring of bounded functions on $X$? This question seems to be more difficult than it appears at first sight. I will discuss it, as well as some related problems and results.