| Private Homepage | https://ivv5hpp.uni-muenster.de/u/tent/ |
| Project membership Mathematics Münster | A: Arithmetic and Groups A2: Groups, model theory and sets |
| Current Publications | • Lectures in Model Theory. , 2018 online |
| Current Projects | • CRC 1442: Geometry: Deformation and Rigidity - C04: Group theoretic aspects of negative curvature We will continue to investigate iterated small cancellation groups. We recently gave a relatively short proof of the infinity of the free Burnside groups of sufficiently large odd exponent which is based on a few important principles well-studied in hyperbolic groups. In a next step we will develop a meta theorem based on these principles which will be applicable to a wider range of problems, in particular in the context of sharply multiply transitive groups. We will also study complexes associated to hyperbolic groups from a model theoretic perspective. • Geometric and Combinatorial Configurations in Model Theory Model theory studies structures from the point of view of first-order logic. It isolates combinatorial properties of definable sets and uses these to obtain algebraic consequences. A key example is the group configuration theorem, a powerful tool in geometric stability used, e.g., to prove the trichotomy for Zariski geometries and in recent applications to combinatorics. Valued fields are an example of the confluence of stability theory and algebraic model theory. While Robinson studied algebraically closed valued fields already in 1959, the tools from geometric stability were only made available in this context in work of Haskell-Hrushovski-Macpherson, brought to bear in Hrushovski-Loeser's approach to non-archimedean geometry. In the project, we aim to strengthen the recent relations between model theory and combinatorics, develop the model theory of valued fields using tools from geometric stability and carry out an abstract study of the configurations which are a fundamental tool in these two areas. online • EXC 2044 - A2: Groups, model theory and sets Model theory and, more generally, mathematical logic as a whole has seen striking applicationsto arithmetic geometry, topological dynamics and group theory. Such applications as well asfundamental questions in geometric group theory, on the foundations of model theory and in settheory are at the focus of our work. The research in our group reaches from group theoretic questions to the model theory of groups andvalued fields as well as set theory. The study of automorphism groups of first order structures astopological groups, for examples, uses tools from descriptive set theory leading to pure set theoretic questions. online | tent at uni-muenster dot de |
| Phone | +49 251 83-33768 |
| FAX | +49 251 83-33078 |
| Room | 810 |
| Secretary | Sekretariat Weischer Frau Paulina Weischer Telefon +49 251 83-33790 Fax +49 251 83-33078 Zimmer 811 |
| Address | Frau Prof. Dr. Dr. Katrin Tent Institut für Mathematische Logik und Grundlagenforschung Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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