Title: Maximal Green Sequences and Quiver Mutations

Date: 10/05/2016

Time: 3:00 PM - 3:50 PM

Place: C304 Wells Hall

Quiver mutation is a combinatorial process that takes a directed graph and makes a “local change” to create a new direct graph. Fomin and Zelevinsky in 2003, utilized these combinatorics to understand a class of algebras known as cluster algebras. In this talk we will introduce quiver mutation and then explore a special sequence of mutations known as Maximal Green Sequences. The existence of these sequences plays a role in understanding the underlying algebraic structure. This topic is an interesting intersection of algebra, topology, and combinatorics with many exciting and challenging problems still open.