|DATE||December 30 (Thu), 2021|
|SPEAKER||Kim, Hyun Kyu|
|TITLE||[School of Mathematics Online Colloquium] Quantization of cluster varieties, ordinary and higher Teichm?ller spaces, and 3d gravity|
|ABSTRACT||Three dimensional quantum gravity is a toy model for quantum gravity, and it inspired the birth of quantum Teichm?ller theory, which in turn was developed by Fock and Goncharov into the theory of quantum cluster varieties. In this talk, I will explain various aspects of the problem of quantization of cluster varieties and some known results, as well as its application to 3d quantum gravity and quantum higher Teichm?ller spaces. I will also present another approach to 3d quantum gravity which might be possibly related.
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