Seminar of the sector 4.1 IITP RAS and Poncelet French-Russian laboratory
13.03.2013 (Wednesday), 17:30, IUM, room 304
Marc Hindry (Université Paris VII, Laboratory Poncelet)
On the size of generators of solutions of some diophantine equations II
We will discuss analogies between the group of units of a number field (e.g. integral solutions of the equation x2-dy2=1) and the group of rational points of an abelian variety over a global field (e.g. rational solutions of the equation y2=x3+ax+b). Both groups are finitely generated and there is a natural notion of size or height, so the central question is to estimate the minimal size of a set of generators.
| 12.03.2013 | |