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Tea Seminar of our groupPlace and time:
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Inhalt:
In this seminar, guests and members of our group present their research, or topics of interest to us. Presently we use a hybrid format for the seminar (in-person and zoom). In case you are interested, please contact Raquel Murat.
Talks:
- 11.11.2025 Max Gheorghiu (Düsseldorf) Poincaré duality for profinite groups via condensed mathematics
- 18.11.2025 Prof. Linus Kramer (Münster) On k-spaces and k-groups Abstract: Topological k-spaces form a convenient category for constructions in algebraic topology. The category of topological k-groups is more elusive, but arises rather naturally from a categorical viewpoint. I will describe some elementary properties of these categories and give an example of a pro-Lie group whose k-fication is discrete. This is joint work with K.H. Hofmann.
Abstract: We establish a version of Poincaré duality for a class of (topological) groups called profinite groups, which provides isomorphisms from the cohomology groups to certain homology groups of a profinite group. The main goal of the talk is to outline the proof techniques for this result, namely condensed mathematics and derived categories. The former is a novel theory promising to act as an alternative fundament of geometry while the latter constitutes an approach of doing homological algebra. The talk will conclude by a rough sketch of the main argument of the proof.