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Théorie Algébrique des Nombres et Applications notamment en Cryptographie / ICTP

Location

Abidjan, Ivory Coast

Dates

10/04/2017 to 22/04/2017

Presentation

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.

Administrative and scientific coordinators

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

Scientific committee

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)

Scientific program

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