Centre International de Mathématiques Pures et Appliquées

CIMPA-UNESCO-MESR-MINECO-ARGENTINA research school

Objectives :

For a long time, Combinatorics was considered mainly as recreational mathematics. But in the past few decades, it has emerged as a mainstream area, with rich connections with more classical ones such as algebra, topology, geometry and probability theory. Moreover, because of its close links with computer science, Combinatorics has become a crucial scientific endeavor.

Besides classical tools, like the pigeonhole principle, the inclusion-exclusion principle, the double counting argument, induction, Ramsey argument, etc., some recent tools (the probabilistic, the algebraic, the linear algebra, the analytical and the topological methods) have shown their surprising power in solving a lot of combinatorial problems (classical and new ones). For example, with a mere knowledge of the concepts of linear independence and discrete probability, beautiful connections can be made between algebra, probability, and combinatorics. These new techniques have also found striking applications in other areas of discrete mathematics and the theory of computing.

Despite the beauty, the breadth and depth of results and applications of Combinatorics, research and teaching in this field are underrepresented in Argentina and South America. One of the main purposes of this school is to change this situation, by bringing a "guided tour" covering its most important branches, and by demonstrating its methods and power. Another related objective is the creation of research and academic networks and to build a frame for the interchange of ideas in this field.

Administrative and scientific coordinators

• Daniel A Jaume, Universidad Nacional de San Luis, Argentine djaume@unsl.edu.ar
• Shalom Eliahou, Université du Littoral Côte d’Opale, France, eliahou@lmpa.univ-littoral.fr

Organizing Committee

• Daniel A Jaume, Universidad Nacional de San Luis, Argentina
• Carolina Maldonado, Universidad Nacional de Córdoba, Argentina
• Rodrigo Iglesias, Universidad Nacional del Sur, Argentina
• Shalom Eliahou, Université du Littoral Côte d’Opale, France
• Jorge Ramírez-Alfonsín, Université Montpellier II, France

Academic Committe

• Fernando Levstein, Universidad Nacional de Córdoba, Argentina
• Guillermo Durán, Universidad de Buenos Aires, Argentina
• Ivan Rapaport, Universidad de Chile, Chile
• Gabriel Minian. Universidad de Buenos Aires. Argentina
• Robert Morris, Instituto Nacional de Matemática Pura e Aplicada, Brazil
• Michel Las Vergnas, Université Pierre et Marie Curie, Paris 6. France (R.I.P.)

Date and location :

July 22-August 2, 2013, San Luis, Argentina

Scientific program :

• A. 11 basic courses for undergraduate students
• B. 7 advanced courses for graduate students
• C. 4 lectures on the state-of-the-art
• D. Tutorial Activities : Problem solving sessions, Group work sessions, Discussion sessions, and Open Problems Market (we will encourage the specialists to present and discuss one or two open problems for the students and the audience in general).

Deadline for Registration :

May 19, 2013

Application procedure and Online registration only for applicants not from Argentina.

Applicants from Argentina must contact the local organizer : ecos.2013 at gmail.com