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 [email protected]

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.


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