Department of Mathematics

Seminar in Cluster algebras

  •  Alexander Shapiro, UC Berkeley
  •  Character varieties, Coulomb branches, and clusters.
  •  10/29/2019
  •  3:00 PM - 4:00 PM
  •  C204A Wells Hall

Quantum groups admit two different geometric realizations: as quantized character varieties and as quantized Coulomb branches of certain gauge theories. These realizations endow a quantum group with two, a priori different, cluster structures. In this talk I will show these structures, explain why they coincide, and say what they have to do with Gelfand-Tsetlin subalgebras, higher rank Fenchel–Nielsen coordinates, and modular functor from higher Teichmüller theory. This talk will be based on joint works with Gus Schrader.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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