Interactions Between Topological Combinatorics and Combinatorial Commutative Algebra (20w5009)

Organizers

(Dalhousie University)

(Osaka University)

(University of Washington)

(McMaster Univeristy)

Description

The Banff International Research Station will host the "Interactions Between Topological Combinatorics and Combinatorial Commutative Algebra" workshop in Banff from November 29 to December 04, 2020.


Two groups of mathematicians, who specialize either in topological combinatorics or in combinatorial commutative algebra, are organizing a workshop in order to identify and to work on problems in the intersection of both fields. Topological combinatorics uses tools from topology to study discrete structures, while combinatorial commutative algebra also studies discrete structures but uses algebraic tools. As a result, the two groups of mathematicians may be studying the exact same problem about discrete structures, but using completely different tools and mathematical language. As an example, questions about the enumeration of the faces of a topological object called a Cohen--Macaulay flag complex can be translated into questions about Hilbert functions of ideals. The goal of this workshop is to bring together 21 mathematicians in both fields to facilitate discussions and encourage new collaborations between these two groups. The organizers have identified five possible themes that will bring an additional focus to the direction of the workshop.


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).