School Colloquium (On Thursday) —— K-stability and geometric nonlinear problems
主 题: School Colloquium (On Thursday) —— K-stability and geometric nonlinear problems
报告人: Akito Futaki (Tsinghua University)
时 间: 2018-05-17 15:00-16:00
地 点: Room 1560, Sciences Building No. 1
Abstract: The Yau-Tian-Donaldson conjecture claims the equivalence between the existence of constant scalar curvature metric and K-stability on polarized K?hler manifolds. The special case for Fano manifolds is the claim for the existence of K?hler-Einstein metrics, and has been confirmed affirmatively by Chen-Donaldson-Sun and Tian. The conceptual idea is explained using moment map picture. In this talk we see there are other geometric nonlinear problems which fit in similar pictures, and the well-known obstructions can be obtained. As a typical example we take up Cahen-Gutt moment map which has been studied in the study of deformation quantizations.