Seminar Event Detail


Combinatorics

Date:  Friday, October 28, 2016
Location:  4088 East Hall (3:10 PM to 4:00 PM)

Title:  Cluster Structures on Higher Teichmuller Spaces for Classical Groups

Abstract:   Let S be a surface, G a semi-simple group of type B, C or D. I will explain how to construct the cluster structure on the moduli space of framed local systems A_{G,S} defined by Fock and Goncharov. This was previously known only in type A. This gives a more direct proof of results of Fock and Goncharov for the symplectic and spin groups, and also allows one to quantize higher Teichmuller space in these cases. If time permits, I will discuss applications to counting tensor invariants of finite dimensional representations of these groups.

Files:


Speaker:  Ian Le
Institution:  Perimeter Institute

Event Organizer:     

 

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