University of Connecticut

Events Calendar

SIGMA Seminar
AMS Special Event
Computing Rational Points On Curves
Sachi Hashimoto

Friday, April 9, 2021
3:30pm – 4:30pm

Storrs Campus

Abstract: Rational solutions to polynomial equations have interested mathematicians since at least the 3rd century AD, when Diophantus published a book of over 100 equations along with solutions. In the 20th century, Faltings proved Mordell's conjecture, about the finiteness of rational points on curves of genus at least 2. However, Faltings's proof falls short of providing an explicit method for constructing the rational points. In this talk, we will survey recent work on p-adic methods to compute rational points, starting with Chabauty and Coleman, to modern techniques such as quadratic Chabauty. The talk is intended to be aimed at a general mathematical audience.


Bailey Johnson

S.I.G.M.A. Seminar (primary), UConn Master Calendar

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