Cluster algebras, webs, and canonical bases (26w5558)
Organizers
Melissa Sherman-Bennett (University of California, Davis)
Christian Gaetz (University of California, Berkeley)
Joel Kamnitzer (McGill University)
Oliver Pechenik (University of Waterloo)
Description
The Banff International Research Station will host the "Representation Theory, Combinatorics, Topological groups, Lie groups" workshop in Banff from March 22 - 27, 2025.
\emph{Cluster algebras, webs} and \emph{canonical bases} are three different methods that mathematicians have developed in order the understand the symmetries of certain mathematical structures. Each of these three ways arose from, and has applications to, different areas of mathematics. These areas include algebraic geometry, representation theory, topology, and combinatorics, as well as physics. The goal of this workshop is to bring together experts and up-and-coming researchers from each of these areas in order to better understand the still mysterious connections between cluster algebras, webs, and canonical bases. A better understanding of these connections could allow for ideas from one area to be applied to solve problems in other areas.
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),
and Alberta's Advanced Education and Technology.
