An introduction to cluster algebras IV

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 4: Categorification and Donaldson-Thomas theory$\newline$ Every cluster variety can be categorized and gives rise to a 3d Calabi-Yau category with a generic stability condition. In this lecture, we will investigate their connections to the motivic Donaldson-Thomas theory.

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