Enumeration of meanders and volumes of moduli spaces of quadratic differentials (Petr Zograf, Steklov Institute and Universtiy of St. Petersburg)

18.07.2017 15:30

A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. In physics, meanders provide a model of polymer folding, and their enumeration is directly related to the entropy of the associated dynamical systems. Combining recent results on Masur-Veech volumes of the moduli spaces of meromorphic quadratic differentials in genus zero and a previous result that horizontal and vertical separatrix diagrams of integer quadratic differentials are asymptotically uncorrelated, we apply them to asymptotic enumeration of meanders.

Lieu

Bâtiment: Battelle

Séminaire "Groupes de Lie et espaces des modules"

entrée libre