Number Theory Seminar

Thursday 22 February 2007, MR3, 4pm

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


     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