学术报告
L^2 curvature bounds on manifolds with bounded Ricci curvature
题 目:L^2 curvature bounds on manifolds with bounded Ricci curvature
报告人:江文帅 (北京大学)
摘要: In this talk, we will discuss the L^2 curvature estimates on manifolds with bounded Ricci curvature and noncollapsing volume. Firstly, we will talk about the background, then we introduce the concept of neck region which appears everywhere in our proof. After that, we would sketch the whole proofs. At last, we would focus on the technical details and our new observations on neck region. One is the local L2 curvature estimate on the regular ball with harmonic radius lower bound. The other key new ingredient is a superconvexity estimates of the hessian of harmonic functions. All the estimates are on neck region. This is joint work with Prof. Aaron Naber.
时间:6月8日(周三)下午15:00-17:00
地点:首都师大北一区文科楼205教室
欢迎全体师生积极参加!