July 5, 2019
Europe/Paris timezone

New Rational Points of Algebraic Curves over Extension Fields

Jul 5, 2019, 4:45 PM
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons


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


Prof. Barry Mazur (Harvard University)


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.

Presentation materials