5 juillet 2019
IHES
Fuseau horaire Europe/Paris

New Rational Points of Algebraic Curves over Extension Fields

5 juil. 2019, 16:45
1h
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons

IHES

Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Prof. Barry Mazur (Harvard University)

Description

For L/K an extension of fields and V an algebraic variety over K say that V is Diophantine Stable for the extension L/K if V(L) = V(K). That is, if `V acquires no new rational points’ when one makes the field extension from K to L. I will describe some recent results joint with Karl Rubin regarding Diophantine Stability and give a survey of related recent statistics, heuristics, and conjectures.

Documents de présentation