|Responsables :||Zoé Chatzidakis, Raf Cluckers, Silvain Rideau.|
|Email des responsables :||email@example.com|
Pour recevoir le programme par e-mail, écrivez à : zchatzid_at_dma.ens.fr.
|Orateur(s)||Amador Martin-Pizarro - Lyon 1,|
|Titre||Tame open core and small groups in pairs of topological geometric structures|
|Horaire||16:00 à 17:30|
|Résume||Using the group configuration theorem, Hrushovski and Pillay showed that the law of a group definable in the reals or the p-adics is locally an algebraic group law, up to definable isomorphism. There are some natural expansions of these two theories of fields, by adding a predicate for a dense substructure, for example the algebraic reals or the algebraic p-adics. We will present an overview on some of the features of these expansions, and particularly on the characterisation of open definable sets as well as of groups definable in the pairs.|