Table of contents

  • This session has been presented April 10, 2009.

Description

  • Speaker

    Eric Schost - University of Western Ontario

Through examples taken from point-counting problems or invariant theory, I will give an overview of how lifting techniques (that is, symbolic versions of Newton's iteration) can help us solve polynomial systems.<br/> I will review the key ingredients needed to put this kind of approach to practice, such as degree bounds or efficient arithmetic for polynomials and power series, and hint at the remaining open problems.

Next sessions

  • Séminaire C2 à INRIA Paris

    • January 16, 2026 (10:00 - 17:00)

    • INRIA Paris

    Emmanuel Thomé et Pierrick Gaudry Rachelle Heim Boissier Épiphane Nouetowa Dung Bui Plus d'infos sur https://seminaire-c2.inria.fr/ 

  • Attacking the Supersingular Isogeny Problem: From the Delfs–Galbraith algorithm to oriented graphs

    • January 23, 2026 (13:45 - 14:45)

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : Arthur Herlédan Le Merdy - COSIC, KU Leuven

    The threat of quantum computers motivates the introduction of new hard problems for cryptography.One promising candidate is the Isogeny problem: given two elliptic curves, compute a “nice’’ map between them, called an isogeny.In this talk, we study classical attacks on this problem, specialised to supersingular elliptic curves, on which the security of current isogeny-based cryptography relies. In[…]

    • Cryptography

Show previous sessions
Page top