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Diophantine Stability for Elliptic Curves

SEMINARS: NUMBER THEORY

When: September 27, 2023
3:00 pm - 4:00 pm
Where: Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138, United States
Speaker: Tom Weston - UMass Amherst

We prove, for any prime ∫ greater than or equal to 5, that a density one set of rational elliptic curves are ∫-Diophantine stable in the sense of Mazur and Rubin. This is joint work with Anwesh Ray.