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Quantum cluster algebras via factorization homology

By David Jordan

Given a surface S, the moduli space of G-local systems on S equipped with a B-reduction and a T-framing at the boundary carries the structure of a cluster variety, by classic results of Fock and Goncharov. In essence, this means that there is a system of toric charts, and a compatible Poisson bracket, quadratic in each chart. Fock and Goncharov moreover quantized this structure by hand, giving rise to what they called a "quantum cluster ensemble".

Information about the video

  • Date of recording 1/17/19
  • Date of publication 1/28/19
  • Institution IHES
  • Format MP4

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