报告题目：Sobolev inequalities in manifolds with asymptotically nonnegative curvature

报告人：东瑜昕

报告时间：2023年3月16日（周四）10:00-12:00

报告地点：数学楼315会议室腾讯会议：720-103-816

报告摘要：Using the ABP-method as in a recent work by Brendle, we establish some sharp Sobolev and Michael-Simon inequalities for compact domains and submanifolds respectively in a complete Riemannian manifold with asymptotically nonnegative curvature.These inequalities generalize those given by Brendle in the case of complete Riemannian manifolds with nonnegative curvature. This is a joint work with Hezi Lin and Lingen Lu.

报告人简介：复旦大学数学科学学院教授（博士生导师），主要研究领域为整体微分几何、复几何与CR几何。曾获教育部跨世纪人才基金。已主持完成国家自然科学基金项目8项(包括重点项目1项)，现主持国家自然科学基金在研项目1项，在 PLMS, BLMS, MZ, JGA, CMP 等国内外学术期刊上发表了数十篇学术论文。