American Mathematical Society

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Integrability and Cluster Algebras: Geometry and Combinatorics

Month: August 2014

Date: August 25--29

Name: Integrability and Cluster Algebras: Geometry and Combinatorics

Location: Brown University (ICERM), Providence, Rhode Island.


This workshop focuses on certain kinds of discrete dynamical systems that are integrable and have interpretations in terms of cluster algebras. Some such systems, like the pentagram map and the octahedral recurrence, are motivated by concrete algebraic constructions (taking determinants) or geometric constructions based on specific configurations of points and lines in the projective plane. The systems of interest in this workshop have connections to Poisson and symplectic geometry, classical integrable PDE such as the KdV and Boussinesq equations and also to cluster algebras. The aim of the workshop is to explore geometric, algebraic, and computational facets of these systems, with a view towards uncovering new phenomena and unifying the work to date.