Vietnam

<div class="tex2jax_process">Commutative Algebra, the study of commutative rings and their modules, has a long and prestigious history. An entirely new dimension opened up when Bruno Buchberger discovered an algorithm to compute Gröbner bases, namely the possibility to symbolically calculate with these objects. In this school we start by introducing the participants to the basics of the theory. Then we branch out and convey a wide range of applications that these fundamental techniques have produced in the last decades.

These lectures are intended for Mathematicians interested in the applications of stochatic methods to modern finance. They will also allow practitioners from financial institutions and companies operating in ASEAN countries to get in touch with European researchers in the subject. This School is part of the Imamis program : we especially encourage people involved in this program or researchers, teachers, or practitioners who want to contribute to the dissemination of Imamis to apply and ask for support both from their home institution and from Cimpa/Imamis.

The aim of the School is to introduce mathematicians from developing countries to some fundamental techniques and recent developments in Commutative Algebra and to promote the collaboration between mathematicians of different developing and developed countries.

Braid groups are a key tool in several parts of algebra, geometry and topology. Representative examples include the theory of quantum groups, hyperplane arrangements and knot theory. The school will introduce participating students to some important new developments in each of these very active areas of mathematics, focusing on the unifying role of braid group. In adopting this approach, we aim to present a larger picture of mathematics to students and counteract a trend towards early specialization and exclusive focus on one narrow research topic.

Since the pioneering works of G. Stampacchia and H. Brézis in the sixties, the variational inequalities play a fundamental and central role in applied mathematics, at the crossroads of analysis, optimization and mechanics. This privileged situation has generated a rapid development of the topic. The main objective of the school is to train PhD students, postdocs and researchers of this part of the world (Vietnam and more widely Asia) to the recent advances in the domain of variational inequalities, quasivariational inequalities, complementarity problems and variational systems.

The main topics of the school cover Singularities in Geometry and Topology and their applications. More precisely it includes singularities of maps:singularities of polynomial maps, Jacobian conjecture, Milnor fibrations, and singularities of varieties: singularities of real and complex surfaces, characteristic classes, intersection homology, hyperplane arrangements.

Applications to medical imaging, astrophysics, computer vision or robotic will be original features of the school.

La géométrie non commutative (GNC) est une sujet de recherches très actif en mathématique et en physique. Le but de cette école est de former des étudiants et des chercheurs locaux dans ce domaine et d’établir des collaborations.

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 objective of the school is to bring together third and fourth year undergraduate students, graduate students, PhD students and young researchers of the Region with famous world experts in the school subjects areas, and to enhance Mathematics and Applications in the Region.

The mere presence of the network makes now possible computations involving data and programs from everywhere on earth. Distribution is a key technology but poses a number of programming and engineering problems. This school aims to prove that object technology is adequate for distributed programming. The Java programming language will be used to support the school.