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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:16010071  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Cluster Structures on Higher Teichmuller Spaces for Classical Groups - Ian Le
Speaker(s):
Abstract:

Let $S$ be a surface, $G$ a semi-simple group of type B, C or D. I will explain why the moduli space of framed local systems $A_{G,S}$ defined by Fock and Goncharov has the structure of a cluster variety, and fits inside a larger structure called a cluster ensemble. 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 hope to talk about applications to counting tensor invariants of finite dimensional representations of these groups.

Date: 07/01/2016 - 1:30 pm
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