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

Date: 2025-03-28

Time: 10:30 - 11:30

Zoom link: https://kva-se.zoom.us/j/9217561890

Speaker
Caleb Jonker, Toronto University

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.