- Series
- Geometry Topology Seminar
- Time
- Monday, June 6, 2016 - 2:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 114
- Speaker
- Christian Zickert – University of Maryland – zickert@math.umd.edu – http://www.math.umd.edu/~zickert/
- Organizer
- Stavros Garoufalidis
We discuss the higher Teichmuller space A_{G,S} defined by Fockand Goncharov. This space is defined for a punctured surface S withnegative Euler characteristic, and a semisimple, simply connected Lie groupG. There is a birational atlas on A_{G,S} with a chart for each idealtriangulation of S. Fock and Goncharov showed that the transition functionsare positive, i.e. subtraction-free rational functions. We will show thatwhen G has rank 2, the transition functions are given by explicit quivermutations.