Amanda Hirschi: Open-closed Deligne-Mumford field theory associated to a Lagrangian

Speaker
Amanda Hirschi, Sorbonne University

Abstract
In 2007, Costello outlined a programme to show that homological mirror symmetry implies enumerative symmetry, using the notion of an open-closed topological conformal field theory (TCFT). I will describe the construction of an open-closed DMFT, a variant of an open-closed TCFT, from moduli spaces of stable pseudo-holomorphic curves with boundary on a single embedded Lagrangian in a closed symplectic manifold. This is joint work with Kai Hugtenburg.