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Number Theory Seminar

Thursday, November 11, 2021
4:00pm to 5:00pm
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Linde Hall 387
Conditional algorithmic Mordell
Brian Lawrence, Department of Mathematics, UCLA,

Conditionally on the Fontaine-Mazur, Hodge, and Tate conjectures, there is an algorithm that finds all rational points on any curve of genus at least 2 over a number field. The algorithm uses Faltings's original proof of the finiteness of rational points, along with an analytic bound on the degree of an isogeny due to Masser and W├╝stholz. (Work in progress with Levent Alpoge.)

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].