Combinatorics Meets Ergodic Theory (15w5013)

The Banff International Research Station will host the "Combinatorics Meets Ergodic Theory" workshop from July 19th to July 24th, 2015.

In the last ten years, both ergodic theory and additive combinatorics have developed and spread in new directions, leading to an explosion of research activity. New applications of these fields have emerged, techniques have been transferred between the various subjects, and multiple connections have been developed with other areas of mathematics. A striking example of these connections is the work of Green and Tao on arithmetic progressions in the primes, which led to important breakthroughs in number theory and in combinatorics. In addition to focusing on recent developments and new open problems, the proposed meeting aims to bring together mathematicians from the diverse fields of ergodic theory and combinatorics to collaborate on long-standing open problems that have implications for both fields.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides 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 is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).