Enumerative Geometry of Surfaces

Abstract

The recent developments in hyperbolic geometry and flat geometry in real dimension 2 formed the core of the workshop, with an emphasis on enumerative aspects. A particularly important role in this regard was played by intersection-theoretic techniques on $\overline{\mathcal{M}}\_{g,n}$, the geometry of the strata of differentials, the geometry of Hurwitz spaces, topological recursion techniques, and large genus asymptotics. The workshop included an exploration of relations with similar problems in complex dimension 2, tropical techniques for enumerative problems, and relations to mathematical physics.