Discrete Geometry: Cluster Algebras, Triangulation, and Directed Graphs

Event Date: 

Wednesday, October 9, 2013 - 2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Michael Dougherty

Email: dougherty@math.ucsb.edu

Speaker: Ben Coté

Abstract: This talk will focus on the combinatoric and geometric structures from which cluster algebras arise. After being introduced by Fomin and Zelevinsky in the early 2000's, cluster algebras quickly become a very active area of mathematics with diverse applications. I will give elementary examples of cluster algebras leading to the full abstract definition. A few applications, results, and conjectures will also be discussed.