Department of Mathematics

Seminar in Cluster algebras

  •  Cluster algebras of geometric type II
  •  10/12/2017
  •  10:00 AM - 10:50 AM
  •  C304 Wells Hall
  •  Leonid Chekov, Michigan State University

In the second part, I generalize the above structures to the case of Riemann surfaces \Sigma_{g,s,n} -- R.s. with holes and decorated boundary cusps on hole boundaries. There, an interesting phenomenon occurs: (i) we have to consider generalized cluster transformations; (ii) we can establish 1-1 correspondence between (extended) shear coordinates and lambda-lengths, so we can investigate both Poisson and symplectic structures on the both sets of variables.

 

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Michigan State University
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