Pour recevoir le programme par e-mail, écrivez à : antoine.ducros@imj-prg.fr
Orateur(s)
Sergei Starchenko - U. Notre Dame,
Titre
A model theoretic generalization of the one-dimensional case of the Elekes-Szabo theorem
Date
23/03/2018
Horaire
16:00 à 17:30
Diffusion
Résume
(Joint work with A. Chernikov)
Let V ⊆ ℂ^3 be a complex variety of dimension 2.
The Elekes-Szabo Theorem says that if V contains “too many” points on n × n × n Cartesian products then V has a special form: either V contains a cylinder over a curve or V is related to the graph of the multiplication of an algebraic group.
In this talk we generalize the Elekes-Szabo Theorem to relations on strongly minimal sets interpretable in distal structures.
