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Mathematics Seminar
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[Mathematical Physics and Geometric Analysis] Quantization of Fock and Goncharov's canonical basis
SPEAKER  |  Dylan Allegretti
INSTITUTE  |  Yale Univ.
DATE  |  March 18(Fri), 2016
TIME  |  10:30
PLACE  |  1424
Keyword  |  
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ABSTRACT  |  In a famous paper 'Moduli spaces of local systems and higher Teichmuller theory' from 2003, Fock and Goncharov defined a version of the space of PGL(2,C)-local systems on a surface and showed that the algebra of functions on this space has a canonical basis parametrized by points of a dual moduli space. This algebra of functions can be canonically quantized, and Fock and Goncharov conjectured that their canonical basis could be deformed to a canonical set of elements of the quantized algebra. In this talk, I will describe my recent work with Hyun Kyu Kim proving Fock and Goncharov's conjecture.
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