Description
Motivated by applications to computing zeta functions, we will discuss the log de Rham and de Rham cohomologies of smooth schemes (together with 'nice' divisors) over the Witt vectors. For the former, we will give an explicit description that eventually might lead to improvements to point counting algorithms. Regarding the latter, we will measure "how far" the de Rham cohomology of a curve is from being finitely generated in terms of the Hasse-Witt invariant of its special fibre.
Prochains exposés
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Séminaire C2 à 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
Orateur : 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
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