Differential Geometry Seminar: The Anomaly flow

Seminar | April 15 | 3:10-4 p.m. | 939 Evans Hall

 Xiangwen Zhang, UC Irvine

 Department of Mathematics

We discuss the development on geometric and analytic aspects of the Anomaly flow. Such flow naturally arises in the study of a system of equations for supersymmetric vacua of superstrings proposed independently by C. Hull and A. Strominger in 1980s. The system allows non-vanishing torsion and they incorporate terms which are quadratic in the curvature tensor. As such they are also particularly interesting from the point of view of both non-Kaehler geometry and the theory of nonlinear partial differential equations. It turns out that the corresponding flow shares some features with the Ricci flow and preserves the conformally balanced condition of Hermitian metrics. This talk is based on joint works with D. Phong and S. Picard.