Séminaires : Géométrie et Théorie des Modèles

Equipe(s) : lm,
Responsables :Zoé Chatzidakis, Raf Cluckers, Georges Comte, Antoine Ducros, Tamara Servi
Email des responsables : antoine.ducros@imj-prg.fr
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http://gtm.imj-prg.fr/

 

Pour recevoir le programme par e-mail, écrivez à : antoine.ducros@imj-prg.fr
Pour les personnes ne connaissant pas du tout de théorie des modèles, des notes introduisant les notions de base (formules, ensembles définissables, théorème de compacité, etc.) sont disponibles ici : https://webusers.imj-prg.fr/~zoe.chatzidakis/papiers/MTluminy.dvi/MTluminy.dvi. Ces personnes peuvent aussi consulter les premiers chapitres du livre Model Theory and Algebraic Geometry, E. Bouscaren ed., Springer Verlag, Lecture Notes in Mathematics 1696, Berlin 1998.Retour ligne automatique
Les notes de quelques-uns des exposés sont disponibles.


Orateur(s) Martin Hils - Muenster,
Titre Special afternoon in the memory of Zoé, II: A tour through the model theory of pseudofinite fields and other PAC fields. Definable measures and groups, and amalgamation properties
Date04/04/2025
Horaire16:30 à 18:00
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In this second of the two afternoon talks in hommage to Zoé, I will revisit some of her major research contributions to the model theory of PAC fields and more specifically pseudofinite fields, mentioning also connections to some recent work of myself.
While, undoubtedly, the model theory of difference fields (and the long-term mathematical collaboration with Udi Hrushovski) takes central stage in Zoé's research career, the model theoretic study of pseudofinite and more general PAC fields has been an important topic throughout Zoé's entire mathematical life, from the construction of a well-behaved measure on definable sets in pseudofinite fields (obtained in 1992 in a highly influential joint work with Lou van den Dries and Angus Macintyre), the study of their amalgamation properties and the relation to simple theories (joint with Anand Pillay in the late 90's) to her recent work, joint with Nick Ramsey, on measures in e-free PAC fields and the definable amenability of definable groups therein.
 

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