Sebastien Picard, Columbia University
"The Anomaly flow over Riemann surfaces"
The Anomaly flow is a geometric flow which implements the Green-Schwarz anomaly cancellation mechanism originating from superstring theory, while preserving the conformally balanced condition of Hermitian metrics. Its stationary points satisfy the Hull-Strominger system of partial differential equations. The Anomaly flow allows metrics with torsion, and we hope to use it to study non-Kahler complex geometry. We will discuss the behavior of this flow on fibrations over Riemann surfaces, where the flow can be reduced to a single scalar PDE on the Riemann surface. This is joint work with T. Fei and Z. Huang.