To participate in this seminar, please register here: https://www.msri.org/seminars/25206
The seminar will feature research talks by distinguished researchers in a range of areas related to the program. The lectures will be delivered in the colloquium style and accessible to broad audience.
If V is an algebraic variety over a field K, and 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.
To participate in this seminar, please register here: https://www.msri.org/seminars/25206No Notes/Supplements Uploaded