Title: Constructing maximal green sequences from subquivers

Date: 10/31/2017

Time: 4:10 PM - 5:00 PM

Place: C304 Wells Hall

Quiver mutation was first studied in the creation of cluster algebras by Fomin and Zelevinsky to study total positivity. Since then it has shown applications to a wide variety of other areas of mathematics. At its core is a way of taking one directed graph and mutating at a vertex to produce a new direct graph. In this talk we will introduce the process of quiver mutation and discuss special sequences of mutation called maximal green sequences. Time permitting we will discuss joint work with John Machacek, Evan Runberg, Abe Yeck, and Ethan Zewde which shows how one can construct maximal green sequences from induced subquivers.