New Trends in Arithmetic Combinatorics and related Fields (25w5331)

The Institute of Mathematics at the University of Granada will host the "New Trends in Arithmetic Combinatorics and related Fields" workshop at the University of Granada (IMAG) in Spain, from June 1 to June 6, 2025.

This workshop gathers leading experts to discuss the latest developments connected to arithmetic combinatorics, one of the most vibrant areas of contemporary mathematical research. This area brings together a large diversity of ideas and techniques from different mathematical fields, in order to study various kinds of combinatorial structures in subsets of groups, mainly abelian groups. One of the paradigmatic results in this area is a theorem published in 1975, due to Hungarian mathematician Endre Szemerédi (Abel Prize 2012), which states that every set of integers of positive upper density, whatever its structure may be, must contain extremely regular substructures, namely arithmetic progressions of arbitrary finite length. This workshop, marking the 50th anniversary of the publication of Szemerédi’s theorem, celebrates in particular the mathematics that have developed in relation to this theorem recently, involving various branches of combinatorics, analysis and number theory.

The Institute of Mathematics at the University of Granada(IMAG) in Granada, Spain, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta Technology and Innovation.