Caleb Jonker: Generalized Kähler-Ricci flow as a Hamiltonian deformation

Abstract

 Generalized Ricci flow emerged in the 1980s as the 1-loop renormalization group flow of a nonlinear sigma model. More recently, Streets and Tian showed that generalized Ricci flow may be extended in a natural way to a flow of generalized Kähler structures — geometries which appear in the presence of supersymmetry. I will explain some work in progress with Marco Gualtieri in which we exhibit generalized Kähler-Ricci flow as a Hamiltonian flow on a graded symplectic manifold. In the process, I will demonstrate that generalized Kähler-Ricci flow decomposes (formally) into a pair of independent flows.