Conditional Algorithmic Mordell
Degeneracy of Algebraic Points April 24, 2023 - April 28, 2023
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Let X be a curve of genus at least 2 over a number field K. By Mordell's Conjecture, X(K) is known to be finite. I will discuss a (very slow) algorithmic approach to determining the set X(K), conditional on the Hodge, Tate, and Fontaine--Mazur conjectures. Joint work in progress with Levent Alpöge.