Date | Dec 15, 2015 |
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Speaker | Hyunkyu Kim |

Dept. | KIAS |

Room | 129-104 |

Time | 16:00-17:00 |

I will first explain the usual Teichmuller space of a Riemann surface in terms of the representation variety of the surface for PSL(2,R). Then I will replace PSL(2,R) with other Lie groups to define higher Teichmuller spaces. For groups PGL(n) and SL(n), I will briefly explain the coordinate system of Fock-Goncharov, which has the structure of the cluster algebra. If time allows, I will mention the Poisson structure and a quantization of this coordinate system.

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