|Date: Friday, January 19, 2018
Location: 3866 East Hall (3:00 PM to 5:00 PM)
Title: A conjectural picture of complex structures on tori and other spaces
Abstract: One of the central questions in complex geometry is to understand the moduli space of complex structures on a given manifold. In general, this is a mysterious object. Locally, we can study deformations of complex structures using Kodaira-Spencer theory. However, the global geometry can be very complicated and have singularities. In this talk, we consider the case where we have a Riemannian-flat metric and show how this can be used to understand the geometry of the moduli space. From here, we lay out some conjectures about how this can be done more generally, and give some heuristic evidence for these conjectures.
Speaker: Gabriel Khan