GRK-Seminar Sommersemester 2025
RTG Seminar Summer term 2025
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.
| 24.04.2025 | Gautier Ponsinet | On a characterisation of perfectoid fields by Iwasawa theory |
| 08.05.2025 | Wiesława Nizioł | Understanding p-adic etale cohomology of varieties 1 (Mercator lecture) |
| 09.05.2025, 14:15 | Wiesława Nizioł | Understanding p-adic etale cohomology of varieties 2 (Mercator lecture) |
| 15.05.2025 | Johannes Sprang | tba |
| 22.05.2025 | Wiesława Nizioł | Understanding p-adic etale cohomology of varieties 3 (Mercator lecture) |
| 23.05.2025, 14:15 | Wiesława Nizioł | Understanding p-adic etale cohomology of varieties 4 (Mercator lecture) |
| 05.06.2025 | Xiaoyu Zhang | t.b.a. |
| 12.06.2025 | Riccardo Tosi | t.b.a. |
| 26.06.2025 | – | Symposium Düsseldorf-Essen-Wuppertal |
| 03.07.2025 | ALGANT-Students | Presentation-try-out |
| 10.07.2025 | David Loeffler (UniDistance Brig) | t.b.a. |
| 17.07.2024 | Giulio Marazza | t.b.a. |
Abstracts
Gautier Ponsinet: On a characterisation of perfectoid fields by Iwasawa theory
With a p-adic representation of the Galois group of a p-adic field are
associated the Bloch-Kato groups via p-adic Hodge theory. Iwasawa theory
motivates the study of these Bloch-Kato groups over infinite algebraic
extensions of the field of p-adic numbers.
Over perfectoid fields, several results provide a simple and useful
description of the Bloch-Kato groups.
In this talk, we will first present these results. We will then present
a reciprocal statement: the structure of the Bloch-Kato groups
associated with certain de Rham representations characterises the
algebraic extensions of the field of p-adic numbers whose completion is
a perfectoid field. In particular, we will recover, via a different
method, results by Coates and Greenberg for abelian varieties, and by
Bondarko for p-divisible groups.
Wiesława Nizioł: Understanding p-adic etale cohomology of varieties
This will be a gentle introduction to the geometric aspects of $p$-adic Hodge Theory. We will focus on $p$-adic etale cohomology of, mostly, algebraic varieties and the tools that allow us to understand it.