Colloquium | Institute of Mathematical Sciences
Time：16:00-17:00, April 16, Thursday
Location：Room 302, Library
Speaker: Bangxian Han, Technion-Israel Institute of Technology
Abstract: I will talk about some recent results concerning optimal transport theory on Riemannian manifolds and metric measure spaces. In particular, I will introduce measure decomposition theorem and its application on geometric and functional inequalities.
进入新世纪以来，最优传输理论得到了前所未有的巨大发展。其中最具有代表性的方向便是最优传输理论的度量几何应用， 近十年来已有两位菲尔兹奖得主的工作与之密切相关。本报告将介绍流形上最优传输的最新研究进展。报告人将着重讲解如何利用最优传输理论研究几何、泛函不等式最优常数，以及几个重要不等式所蕴含的测度、度量刚性定理。