Number Theory Seminar

Thursday 22 February 2007, MR3, 4pm

Independence of Heegner Points (Joint work with Michael Rosen)
Joseph Silverman (Brown)

Abstract:

     Heegner points are special points on elliptic curves constructed from CM points on a modular parametrization of the curve. There are many known results about the dependence or independence of Heegner points associated to a single quadratic imaginary field. In this talk I will recall the construction of Heegner points and sketch a proof that Heegner points corresponding to distinct CM fields are generally linearly independent in the Mordell-Weil group. As time permits, I will also discuss a negative implication for the elliptic curve discrete logarithm problem via Deuring-Heegner lifts and analogous results for Darmon-Heegner points attached to real quadratic fields.



Last modified on 20/1/07.

Comments/corrections to Tim Dokchitser