Centre International de Mathématiques Pures et Appliquées



Ministère Enseignement Supérieur et Recherche, France UNESCO
Universitè de Montpellier UNS
Norwegian Ministry of Education and Research

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Lattices and applications to cryptography and coding theory

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CIMPA-ICTP-VIETNAM research school

Research School co-sponsored with ICTP

Ho Chi Minh University of Pedagogy, Ho Chi Minh City, August 1-12, 2016

Lattices play a central role in number theory and its applications. The aim of this school is to introduce participants to the ubiquity of lattices in number theory, algebra, arithmetic algebraic geometry, cryptography and coding theory. The theory of lattices will be developed from its very beginning and the basic notions required for the applications in number theory, algebra, arithmetic algebraic geometry will be provided. Appearances of lattices that we intend to cover include : The natural lattices structures of Mordell-Weil groups and unit groups. Lie algebra root lattices. The lattice basis reduction algorithm "LLL", which as many applications to many areas of mathematics and finally the construction of the famous Leech lattice. On the applied side we plan to cover constructions of good error-correcting codes and of good sphere packings via dense lattices.

Administrative and scientific coordinators

- Nguyen Anh Tuan (Ho Chi Minh University of Pedagogy), nguyenanhtuan2512@gmail.com
- Phong Nguyen (INRIA, France), Phong.Nguyen@ens.fr

Scientific Committee

  • Laura Geatti (Università di Roma Tor Vergata)
  • Anton Mellit (SISSA-ICTP)
  • Phong Nguyen(Institut national de recherche en informatique et en automatique)
  • René Schoof (Università di Roma Tor Vergata)
  • Peter Stevenhagen (Leiden Universiteit)
  • Valerio Talamanca (Università Roma Tre)

Local Organizing Committee

  • Nguyen Anh Tuan (Ho Chi Minh University of Pedagogy)
  • My Vinh Quang (Ho Chi Minh University of Pedagogy)
  • Duong Hoang Dung (Bilefeld University)
  • Tran Nguyen Thanh Ha (Università di Roma Tor Vergata)
  • Fernando Rodriguez Villegas (ICTP)

Scientific Program

  • Lattices and Number theory : Peter Stevenhagen (Leiden) - Tran Nguyen Thanh Ha (Tor Vergata) (12 hours)
  • Lattices in Lie algebras : Laura Geatti (Tor Vergata) (6 hours)
  • Lattices and crypto : Phong Nguyen, (INRIA) (10 hours)
  • Lattices and coding theory : Duong Hoang Dung (Bielefeld) (6 hours)
  • Lattices and Mordell Weil groups : Francesco Pappalardi (Roma Tre) e Valerio Talamanca (Roma Tre) (10 hours)
  • Lattices and modular forms : René Schoof (Tor Vergata) - Valerio Talamanca (Roma Tre) (12 hours)

Deadline for registration : May 22, 2016

Application procedure only for applicants not from Vietnam.

Applicants from Vietnam must contact local organizer : cimpa2016@gmail.com

Voir en ligne : Local web site