A joint CIMPA-ICTP research school on
Lattices and applications to cryptography and coding theory
Saigon University, Ho Chi Minh City, Vietnam.
August 1st - 12th, 2016

News



Practical Information

Schedule

Courses and Lectures

Safety instruction

Directions

Vietnamese Food


Cimpa's web page for the school.

ICTP's web page for the school.

List of international participants

List of Vietanamese participants

In partnership with:


  

We gratefully acknowledge the support of:


     
  
Goal/Motivation

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 lattice structure of Mordell-Weil groups and unit groups. Lie algebra root lattices. The lattice basis reduction algorithm "LLL", which has 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.

 Courses
  • Lattices and Number theory
  • Lattices in Lie algebras
  • Lattices and cryptography
  • Lattices and coding theory
  • Lattices and Mordell Weil groups
  • Lattices and modular forms
  • Lattices and geometry of numbers
Organization

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

Organizing Committee
  • Nguyen Dinh Thuc (University of Science, Vietnam National University)
  • Pham Hoang Quan (Saigon University)
  • Duong Hoang Dung (Kyushu University)
  • Tran Nguyen Thanh Ha (Aalto University)
ICTP local organizer
  • Fernando Rodriguez Villegas (ICTP)
Lecturers
  • Duong Hoang Dung (Kyushu University)
  • Laura Geatti (Università di Roma Tor Vergata)
  • Phong Nguyen (Institut national de recherche en informatique et en automatique)
  • Francesco Pappalardi (Università Roma Tre)
  • Peter Stevenhagen (Universiteit van Leiden)
  • René Schoof (Università di Roma Tor Vergata)
  • Valerio Talamanca (Università Roma Tre)
  • Tran Nguyen Thanh Ha (Aalto University)
  • Michel Waldschmidt(Université Pierre et Marie Curie)