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Théorie Algébrique des Nombres et Applications notamment en Cryptographie / ICTP

Lieu

Abidjan, Côte d’Ivoire

Dates

10/04/2017 - 22/04/2017

Présentation

Algebraic number theory is a very active field of mathematics. We plan to introduce the subject and its application to cryptography. After given courses in elementary arithmetic, algebraic numbers and p-adic numbers, we will focus on the basics of elliptic curves and finite fields. Applications will also figure prominently in the program as it is shown by the presence of the following courses : Introduction to cryptography, Elliptic curves and cryptography. Moreover, we plan to cover the explicit construction of elliptic curves over finite fields with group of point of large prime order (as needed by cryptographic applications) via complex multiplication.

Responsables administratifs et scientifiques

François Tanoe (Université Félix Houphouet Boigny, aziz_marie@yahoo.fr)
Christophe Delaunay (Université de Franche-Comté, France, christophe.delaunay@univ-fcomte.fr)

Comité scientifique

Francesco Pappalardi (Università degli Studi Roma Tre, Italy)
Alain Togbe (Purdue University North Central, USA)
Michel Waldschmidt (Université Paris 6, France)
François Tanoe (Université Félix Houphouet Boigny, Côte d’Ivoire)
Adriana Salerno (Bates College, USA)

Programme scientifique

Cours 1: "Application of the elementary Number Theory to cryptography", Alain Togbe (Purdue University North Central, USA)
Cours 2: "Introduction to topics of algebraic number theory related to cryptography", Michel Waldschmidt (Université Paris 6, France)
Cours 3: "Décomposition cyclotomique sur les corps finis", François Tanoe (Université Félix Houphouet Boigny, Côte d’Ivoire)
Cours 4: "Lattices and Cryptography", Adriana Salerno (Bates College, USA)
Cours 5: "Elementary Approach to elliptic curves", Lassina Dembele (Warwick, UK)
Cours 6: "Introduction to the theory of modular forms and applications", Lassina Dembele (Warwick, UK)
Cours 7: "TD : An introduction to PARI/GP", Christophe Delaunay (Université de Franche-Comté, France)