Milner 317

Wednesdays, 12:30-1:30 PM

University of Texas at Austin

**Thursday, March 8 at 3:00 pm
in Milner 317**

**Title: **Character
varieties and the Tutte polinomial of graphs

**Abstract:** This talk will
be on work in progress joint with Tamas Hausel. I will discuss how the
Tutte polynomial of certain graphs naturally appears in relation to
counting absolutely indecomposable representations of quivers over a
finite field k. In turn, the number of such representations for the
quiver with one node and g loops is related to the number of points of
a certain character variety over k associated to a Riemann surface of
genus g. The Weil conjectures then indicate how the relation between
the various counts is a manifestation of underlying geometric facts
about these varieties.