Séminaire du 17/01/2020

Abdoulaye Maiga (IMB / Cheikh Anta Diop University) : « Canonical Lift of Genus 2 Curves »

Abstract :

This talk first gives a survey of the p-adic methods that compute the
characteristic polynomials of elliptic curves over finite fields. 

We then present the complexities to extend those algorithms to genus 2 curves
over finite fields : we propose to extend the canonical lift algorithm
introduced by T. Satoh to genus 2 curves over finite fields, using the
modular polynomials in dimension 2.