Seminar in Real and Complex Geometry

Thursday, December 11, 2025, 16:15-17:45, online via zoom




Brett Parker
(Mathematical Sciences Institute, Australian National University)

Holomorphic Lagrangians, GW invariants, and real structures


Abstract
             

I will describe a holomorphic version of Weinstein’s symplectic category, in which morphisms are encoded by holomorphic Lagrangians. I will explain that Gromov—Witten invariants of log Calabi—Yau 3-folds are canonically encoded as morphisms in this category, and explain that conjecturally, the GW/DT correspondence is also a morphism in this category. An advantage of this concretely geometric perspective is that it is compatible with real structures.