SFB 878 A09 - Geoöetric Moel Theory of Valued Fields
Basic data for this project
Type of project: Subproject in DFG-joint project hosted at University of Münster
Duration at the University of Münster: 01/09/2016 - 30/06/2019 | 1st Funding period
Description
In der Modelltheorie bewerteter Körper und definierbarer Gruppen werden wir untersuchen, welche algebraischen Eigenschaften aus gewissen Zahmheitsbedingungen wie etwa NIP (Abwesenheit der Unabhängigkeitseigenschaft) folgen. Insbesondere werden wir proendliche NIP-Gruppen betrachten sowie an der Shelah-Vermutung über unendliche NIP-Körper mit definierbaren Bewertungen arbeiten. Darüber hinaus werden wir Imaginäre, Forking und Keisler-Maße in algebraisch abgeschlossenen bewerteten Körpern mit Nichtstandard Frobenius-Automorphismus sowie nichtarchimedische Analytifizierungen algebraischer Gruppen aus modelltheoretischer Sicht untersuchen.
Keywords: Mathematics; Groups; Geometry
Website of the project: https://www.uni-muenster.de/SFB878/projects/A/9/
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/323904309
Funding identifier: SFB 878/2-2016 | DFG project number: 129719356
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Hils, Martin |
Applicants from the University of Münster
| Hils, Martin |
Related main project
Duration: 01/07/2010 - 30/06/2019 | 2nd Funding period Funded by: DFG - Collaborative Research Centre Type of project: Main DFG-project hosted at University of Münster |
Publications of the University of Münster resulting from the project
Hils M, Kamensky M, Rideau S (2018) In: Proceedings of the London Mathematical Society, 2018. doi:10.1112/plms.12116 Research article (journal) | Peer reviewed | Published | |
Hils, Martin; Hrushovski, Ehud; Simon, Pierre (2021) In: arxiv:2101.02619. Research article in digital collection | Preprint | submitted / under review | |
Hils Martin, Rideau-Kikuchi Silvain (2026) In: Journal of the European Mathematical Society, 28(3), 1009-1080. doi:10.4171/JEMS/1492 Research article (journal) | Peer reviewed | Published |
Doctorates resulting from the project
| On Transfer Principles in Henselian Valued Fields Candidate: Touchard, Pierre | Supervisors: Hils, Martin Period of time: until 04/09/2020 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |
Talks about the project
| Classification of imaginaries in valued fields with automorphism. Hils, Martin (25/02/2020) Logic Seminar, The Hebrew University of Jerusalem, Jerusalem, Israel Type of talk: scientific Talk | |
| Classification of Imaginaries in VFA Hils, Martin (31/01/2020) Seminaire Géométrie et Théorie des Modèles, Ecole Normale Supérieure Paris, Paris, Frankreich Type of talk: scientific Talk | |
| Classification of Imaginaries in VFA Hils, Martin (30/01/2020) Séminaire de Logique Mathématique, Université Claude Bernard Lyon 1, Villeurbanne, Frankreich Type of talk: scientific Talk | |
| Classification of Definable Quotients Hils, Martin (27/01/2020) Oberseminar für Reine Mathematik,, Universität Passau, Passau, Deutschland Type of talk: scientific Talk | |
| Equivariant Definable Deformation Retractions in Non-archimedean
Geometry Hils, Martin (29/07/2019) "Model Theory Seminar", University of Waterloo, Waterloo, Kanada Type of talk: scientific Talk |