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Algebraic Number Theory and applications

English Version

CIMPA-ICTP-BENIN research school

Research School co-sponsored with ICTP

The Institute of mathematics and physical Sciences (IMSP), Dangbo, Benin, July 7-19, 2014

Report by Joël Tossa

Report by Michel Waldschmidt

Number of participants : 39 including 6 women

Objectives :

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.

For more information please consult the list of lectures included below.

Administrative coordinators :

- Jimenez Urroz, Jorge, Universidad Politecnica de Cataluna, Spain,
- Issa A. Nourou, Département de Mathématiques, Université d’Abomey-Calavi, Benin,

Scientific Committee :

- Jorge Jimenez Urroz (Universitat Politècnica de Catalunya, Spain)
- Alain Togbe (Purdue University North Central, Westville, USA)
- Michel Waldschmidt (Université Pierre et Marie Curie - Paris 6, France)
- Issa A. Nourou, Département de Mathématiques, Université d’Abomey-Calavi, Bénin

Local Organizing Committee :

- Nourou Issa, Université d’Abomey-Calavi, Bénin
- Kpamegan Bernadin, Université d’Abomey-Calavi, Bénin
- Hounnon Hypolite, Université d’Abomey-Calavi, Bénin
- Marcos Aboubacar, The Institute of mathematics and physical Sciences (IMSP), Bénin

Scientific Program :

  1. Introduction aux formes quadratiques binaires (Speaker : Claude Levesque, Université Laval, Canada)
  2. Introduction to the elementary arithmetic (Speaker : Alain Togbe, Westville, USA)
  3. Introduction to the algebraic number theory (Speaker : Franscesco Pappalardi, Roma, Italy)
  4. Elliptic curves and cryptography (Speaker : Jorge Jimenez Urroz, UPC, Barcelona, Spain)
  5. Diophantine equations (Speaker : Florian Luca, Morelia, Mexico)
  6. Introduction to the theory of finite fields with application to error correcting codes (Speaker : Michel Waldschmidt, Paris 6, France)
  7. Introduction to p-adic numbers (Speaker : Adriana Salerno, Lewiston, USA)

Deadline for registration :

April 20, 2014

Application procedure only for applicants not from Benin.

Applicants from Benin must apply via the local website :

Voir en ligne : Local web site