Algebra / Topology Seminar

Speaker: Dani Kaufman

Title: A Quick Introduction To Cluster Algebras

Abstract: I will give a brief answer to the question “What is a Cluster Algebra and where do they appear?”. After giving a basic overview of the definition of a cluster algebra, I will show how the rules involved in this definition appear naturally when considering certain constructions from geometry (coordinates on Teichmüller space) , topology (skein relations)  and algebra (Plücker relations). Along the way, I will mention some of the problems I have been working on recently.