Unifying Themes in Ramsey Theory (18w5180)


Claude Laflamme (University of Calgary)

(Charles University, Prague)

Slawomir Solecki (University of Illinois)

Stevo Todorcevic (University of Toronto)


The Banff International Research Station will host the "Unifying Themes in Ramsey Theory" workshop from November 18th to November 23rd, 2018.

There are some fundamental mathematical objects which contain very rich structures. These include for example the rational numbers, the Rado graph, and the Urysohn space just to name a few, each exhibiting deep symmetry and universality. Indeed all countable linear orders will be found inside the rational numbers, all countable graphs will be found in the Rado graph, and similarly all countable metric spaces will appear as subspaces of the Urysohn space. The process of finding nice substructures within such large structures is a central theme of Ramsey Theory, and it is thus natural and the purpose of this workshop to study these methods and impact to other mathematical areas.

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).