Algebra/Topology seminar
by Christian Zickert at 15:15 in Aud 10.
Title: Fock-Goncharov coordinates for rank 2 Lie groups.
Speaker: Christian Zickert (University of Maryland, College Park)
Time: Monday 11th July, 15:15
Place: Aud 10
Abstract: We discuss the higher Teichmuller space A_{G,S} defined by Fock and Goncharov. This space is defined for a punctured surface S with negative Euler characteristic, and a semisimple, simply connected Lie group G. There is a birational atlas on A_{G,S} with a chart for each ideal triangulation of S. Fock and Goncharov showed that the transition functions are positive, i.e. subtraction-free rational functions. We will show that when G has rank 2, the transition functions are given by explicit quiver mutations.