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Quantum geometry of moduli spaces of flat connections and representation theory

Mathematical Physics Seminar

Speaker: Alexander Goncharov, Yale University and MSRI
Related Webpage: https://gauss.math.yale.edu/~ag727/
Location: 2112 MSB
Start time: Fri, Sep 27 2019, 11:00AM

I will explain how to quantize moduli spaces of flat $G$-connections on a topological surface $S$, where $G$ is any split semi-simple group. One of ingredients of the construction is a new moduli space which appear when $S$ has polygonal boundary. The quantized space has several applications in representation theory