Vendredi 9 avril 2010 à 14h30 en salle G4

Ben Smith (LIX)

Titre : Applications of Explicit Real Multiplication

Résumé :

An abelian variety A is said to have Real Multiplication by an order O in a totally real number field if the endomorphism ring End(A) contains a subring isomorphic to O. In this talk, we will exhibit some families of low-genus curves whose Jacobians have explicit real multiplication, and show how to use these explicit endomorphisms to accelerate scalar multiplication and point-counting algorithms.

Remarques : Attention à la salle !