Formal Structure of Scalar Curvature in Generalized Kahler Geometry
报告人：Jeffrey Streets (University of California, Irvine)
时间：2023-10-25 09:00-10:00
地点：ZOOM
Abstract: The Fujiki-Donaldson moment map formulation of scalar curvature, and the attendant Mabuchi-Semmes-Donaldson geometry of a Kahler class, play a central role in addressing the existence and uniqueness of constant scalar curvature Kahler metrics. Generalized Kahler (GK) geometry is a natural extension of Kahler geometry arising from Hitchin’s generalized geometry program and mathematical physics, and forms a particularly well-structured extension of Kahler geometry. Recently Goto defined a notion of scalar curvature in GK geometry as the moment map of a particular Hamiltonian action on the space of generalized Kahler structures. In this talk I will describe joint work with Vestislav Apostolov and Yury Ustinovskiy where we give an explicit description of the scalar curvature, and define a natural generalization of the Mabuchi-Semmes-Donaldson metric, leading to a Calabi-Lichnerowicz-Matsushima obstruction, generalizations of Futaki’s invariants, and a conditional uniqueness result.
Speaker: Jeff Streets received his Ph.D. from Duke University in 2007, and is now a professor at the University of California, Irvine.
ID: 847 8137 1046
Passcode: 066678
