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Seminar

DDC Online Seminar: Diophantine stability September 17, 2020 (09:00 AM PDT - 10:00 AM PDT)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Karl Rubin (University of California, Irvine)
Description

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.

 

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Diophantine Stability

Abstract/Media

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/25206

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Diophantine Stability

H.264 Video 25122_28620_8504_Diophantine_Stability.mp4