Department of Mathematics


Title : Rational Points on Curves
Speaker: Prof. Victor Flynn
Affiliation: Oxford
Time: 2:00 pm Thursday, 6 October, 2011
Location: 810-340 (Third floor Short Street, along corridor past kitchen)
Abstract
I shall consider the problem, given a curve with rational coefficients, of how one tries to find all of its rational points. I shall discuss various techniques, and explain how to solve a wide range of naturally occurring problems relating to: cycles of polynomials, Fermat quartics (including the solution of a challenge curve of Serre), and part of the classification problem for Q-derived polynomials (a polynomial is Q-derived if it and all of its derivatives have all of their roots in Q, and so is ideal for setting students as a calculus problem).


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