Computational geometry of moduli spaces of curves

Computational geometry of moduli spaces of curves

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Peter Zogarf, Steklov Mathematical Institute, Russian Academy of Sciences
Fine Hall 314

A fast algorithm for computing intersection numbers of $\psi$- and $\kappa$-classes on moduli spaces of complex algebraic curves is proposed. As a consequence, the exact large genus asymptotics of these numbers (in particular, Weil-Petersson volumes) is numerically derived.