An introduction to cluster algebras III

Abstract: Cluster algebras are commutative algebras equipped with remarkable combinatorial structures. Since its inception in 2000, the theory of cluster algebras has found numerous exciting applications in mathematics and physics. This series of lectures aim to provide an accessible introduction to cluster algebras for a general mathematical audience. In particular, we will investigate the following topics.

Lecture 3: Poisson geometry and quantization$\newline$ Cluster varieties carry intrinsic Poisson structures. We present a quantization of cluster varieties and explore their connections with the theory of quantum groups.

algebraic geometrycombinatoricsdifferential geometrygeometric topologyquantum algebrarepresentation theorysymplectic geometry

Audience: researchers in the topic

Legendrians, Cluster algebras, and Mirror symmetry

Series comments: Schedule
School: January 4–8, 2021
Conference: January 11–15, 2021