4:10 – 5:30 PM
891 Evans Hall
Counting Moduli of Quiver Representations with Relations
Speaker: Jiarui Fei
Abstract: In this talk, I will explain how to count the rational points of the GIT quotients of quiver representations with relations. I will focus on two types of algebras – one is extended from a quiver Q, and the other is Dynkin A_2 tensored with Q. For both, explicit formulas will be given. For application in the quantum algebra, we study when they are polynomial-count. We follow the similar line as quiver without relations using the Hall algebra. However, algebraic manipulations in Hall algebra will be replaced by corresponding geometric constructions. You will see many examples.