General (Main) Seminar MSRI program on DDC-Diophantine stability
Thu, 17 September, 2020
4:00pm
General (Main) Seminar MSRI program on DDC
Organizers: A. Shlapentokh and V. Harizanov
For link contact harizanv
gwu [dot] edu
Thursday, September 17, 12:00-1:00 on Zoom
Speaker: Karl Rubin UC Irvine
Title: Diophantine stability
Abstract: If V is an algebraic variety over L is a field containing K, we say that V is diophantine stable for L/K if V(L) = V(K), i.e., if V acquires no new points after passing from K to L. When V is an elliptic curve and L is a number field, diophantine stability can be used to extend (un)decidability properties from K to L. In this talk we will discuss some results and conjectures about diophantine stability for elliptic curves over number fields. This is joint work with Barry Mazur.