REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

Ryan Kinser

ABSTRACT: Our goal is to establish a connection between two apparently unrelated objects associated to a quiver: its tree modules, and the polynomials introduced by Kac which count certain representations over finite fields with q elements (this background will be explained in the talk).  We will look at some modest results linking tree modules to the evaluation of counting polynomials at "q=1", and a couple ofintriguing examples that suggest a deeper connection.