Speaker: Penka Georgieva (Princeton University)

Title: Orientability in real Gromov-Witten theory

Abstract: For a symplectic manifold M, equipped with an anti-symplectic involution, one can consider the moduli space of J-holomorphic maps from a symmetric Riemann surface to M commuting with the involutions on the domain and the target. These moduli spaces play an important role in real enumerative geometry and string theory, as seen in the works of J.-Y. Welschinger and J. Walcher. The goal of this talk is to describe what the orientability of the moduli spaces depends on, which is an essential ingredient in defining real Gromov-Witten type invariants. This is a joint work with A. Zinger.