Department of Mathematics

Algebra

  •  Topological Recursion 2
  •  03/29/2017
  •  3:00 PM - 3:50 PM
  •  C304 Wells Hall
  •  Leonid Chekov, MSU

I will describe the relation between global and local models. Local models are those based on a signle branchpoint. Although a zoo of global models is huge, we have just two types of local models: the Kontsevich model (the Airy kernel) associated with ``dynamic' branchpoints (zeros $\mu_\alpha$ of $dx$ such that $y(\mu_\alpha)\ne \{0,infty\}$) and the Brezin-Gross-Witten model (the Bessel kernel) associated with a 'hard' edge (a zero $a_\alpha$ of $dx$ such that $ydx$ is regular at $a_\alpha$). I will describe the canonical action of quadratic operators establishing exact relations of Ch.-Givental form between a global model and the direct product of local models.

 

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Michigan State University
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