London-Paris Number Theory Seminar

Third meeting, Paris, 12/11/2007

The 3rd meeting took place on Monday 12th November 2007 in the Institut Henri Poincaré in Paris. The schedule was

10.30-11.00 Welcoming coffee and tea
11.00-12.00 Ambrus Pal (Imperial College London)
Diophantine applications of modular curves
Abstract: Modular curves have several applications in Diophantine Geometry. For example we may deduce uniform bounds on torsion points of elliptic curves by studying rational points on them. On the other hand they parameterize elliptic curves hence they can be used to study the conjecture of Birch and Swinnerton-Dyer. I will talk about another application which recently became the focus of research.
12.00-2.00 Lunch
2.00-3.00 Régis de la Bretèche (IMJ)
Rational points on del Pezzo surfaces of degree 4
3.00-3.30 Coffee break
3.30-4.30 Minhyong Kim (University College London)
The principle of Birch and Swinnerton-Dyer for certain hyperbolic curves
Abstract: We will discuss some examples of hyperbolic curves for which the non-vanishing of L-values accounts for the finiteness of integral points.

The talks took place in the Amphithéâtre Hermite, Institut Henri Poincaré.

The organizers of the meeting were: Michael Harris (, Guy Henniart (, Marc Hindry (, Ariane Mezard (, Jacques Tilouine (

Second meeting (London, 02/05/2007)
Fourth meeting (London, 07/05-08/05/2008)
Main page of the London-Paris Number Theory Seminar

This page is maintained by Manuel Breuning. This document was last modified on 2nd April 2009.