Algebraic Number Theory and applications

Location

DANGBO
,
Benin

Dates

to

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

Issa Nourou (Université d’Abomey-Calavi,
Benin
,
woraniss@yahoo.fr
)
Jorge Jimenez Urroz (Universidad Politecnica de Cataluna,
Spain
,
jorge.cimpa@gmail.com
)

Scientific program

Course 1: "Introduction to the theory of finite fields with application to error correcting codes", Michel Waldschmidt (Université Paris 6, France)

Course 2: "Elliptic curves and cryptography", Jorge Jimenez Urroz (UPC, Barcelona, Spain)

Course 3: "Diophantine equations", Florian Luca (UNAM Juriquilla, Mexico)

Course 4: "Introduction to the algebraic number theory", Francesco Pappalardi (Università degli Studi Roma Tre Roma, Italy)

Course 5: "Introduction to p-adic numbers", Adriana Salerno (Bates College, Lewiston, USA)

Course 6: "Introduction aux formes quadratiques binaires ", Claude Levesque (Université Laval, Québec, Canada)

Course 7: "Introduction to the elementary arithmetic", Alain Togbe (Purdue University North Central, USA)

Website of the school

http://www.cimpa-icpam.org/archivesecoles/20141218145246/index.html

How to participate