An Isaac Newton Institute Workshop

Matrix Ensembles and L-Functions

A survey of elliptic curves

13th July 2004

Author: Emmanuel Kowalski (Université Bordeaux I)

Abstract

This talk will be a fairly down-to-earth survey of the theory of elliptic curves, with special emphasis on stating the Birch and Swinnerton-Dyer conjecture and explaining the various invariants that enter into it, and in particular how this turns out to be related to Random Matrix Theory.