Marc Noy, Universitat Politècnica de Catalunya

Oriol Serra, Universitat Politècnica de Catalunya

Alfred Geroldinger (University of Graz, Institute for Mathematics and Scientific Computing)

Additive group theory and the theory of non-unique factorizations

Imre Z. Ruzsa (Alfréd Rényi Institute of Mathematics, Budapest)

Sumsets and structure

Jean-Marc Deshouillers, Christian Elsholtz, Melvin B. Nathanson, Ben J. Green, Yahya O. Hamidoune, Gyula Károlyi, Jaroslav Nesetril, and Jozsef Solymosi.

The DocCourse spans three months with two main Intensive Courses and several Thematic Seminars. During the period of the course, the participants will undertake a Research Project under the supervision of a local advisor.

Topics covered in the course include: structure of sets with small sumset, zero-sum problems, additive basis, arithmetic Ramsey theory and non-unique factorizations in Krull monoids.

One of the features of contemporary Additive Combinatorics  is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This diversity makes the subject particularly suited for training young researchers at both pre-doctoral and post-doctoral levels, introducing them in an area which is attracting a strong interest in the mathematical community for its many open problems and its wide range of applications.

The DocCourse is intended for pre- and post-doctoral students in the areas of Combinatorics, Geometry, Number Theory, Graph Theory, Computer Science and Mathematics in general.

However senior researchers are invited to participate in the DocCourse activities and are asked to contact the co-ordinators to arrange their visit.

Deadline for Registration and Payment: Participants will be contacted and given a deadline for payment and registration.