天元讲堂（6.16）孙哲
报告题目：McShane identities for higher Teichmüller theory and the Goncharov-Shen potential
报告人：孙哲（University of Luxembourg）
时间：2019年6月16日（星期日）10:00—12:00
地点：苏州大学本部校区精正楼（数学楼）307
摘要：We describe a family of McShane-type identities for simple root length on positive surface group representations into PGL(n,R). It looks very similar to Mirzakhani's generalized McShane identity for bordered surfaces which is used to again prove Witten-Kontsevich theorem, except new parameters appear. We find nice properties for these new parameters. Our techniques are based on a family of generalized horocycle lengths, called Goncharov-Shen potential, on the positive representation with parabolic monodromy around each boundary component. These horocycle lengths were introduced by Goncharov and Shen, who used their tropical versions to define positive integral points for parametrizing certain canonical bases and to formulate a homological mirror symmetry picture that provides a compactification of the character variety. This is joint work with Yi Huang.
欢迎参加！