Milen Yakimov, Northeastern University
The talk will provide a gentle introduction to Cluster Algebras based on an example with the first Weyl algebra and not using elaborate combinatorics. We will explore the interplay between the three worlds of cluster algebras: classical, quantum and root of unity, building a bridge between the Poisson geometry and representation theory of the first and third families. The last part of the talk is based on joint work with Shengnan Huang, Thang Le, Greg Muller, Bach Nguyen and Kurt Trampel.