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Fock-Goncharov coordinates for rank 2 Lie groups

Christian Zickert (University of Maryland)
Tirsdag, 28 juni, 2016, at 13:00-14:00, in Aud. G2 (1532-122)
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen