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题目： L^p spacetime estimates and the Kähler-Ricci flow

报告人：Alexander Bednarek (The University of Sydney)    

摘要： We consider the Ricci flow on compact Kahler manifolds equipped with rational initial metrics. For both infinite and finite time singularities, this generates a map into projective space which enables one to decompose the Ricci curvature in terms of a potential function. We will discuss the contents of my recent paper which extends known L^p estimates for infinite time similarities to the finite time case, proving the Riemannian curvature is always Type I with respect to the L^2 norm, and deriving an L^4 spacetime estimate on the Ricci curvature via L^p bounds on the Ricci potential.

报告时间：2025年5月12日（周一）下午14:00-15:00

报告地点：教二楼608

联系人：张振雷