|Responsables :||Zoé Chatzidakis, Raf Cluckers|
|Email des responsables :||firstname.lastname@example.org|
Pour recevoir le programme par e-mail, écrivez à : zchatzid_at_dma.ens.fr.
|Orateur(s)||Gal Binayamini - Weizmann Institute,|
|Titre||Sharp o-minimality: towards an arithmetically tame geometry|
|Horaire||16:00 à 17:30|
Over the last 15 years a remarkable link between o-minimality and algebraic/arithmetic geometry has been unfolding following the discovery of Pila-Wilkie's counting theorem and its applications around unlikely intersections, functional transcendence etc. While the counting theorem is nearly optimal in general, Wilkie has conjectured a much sharper form in the structure R_exp. There is a folklore expectation that such sharper bounds should hold in structures "coming from geometry", but for lack of a general formalism explicit conjectures have been made only for specific structures.