中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： Dr. Qin Deng（MIT）
题 目：Regularity of Lagrangian flows on RCD spaces and applications
时 间：2023.07.07（星期五），09:00-10:00
地 点：Zoom会议：831 7951 2816 密码：0707
摘 要：In this talk I will discuss regularity results for Regular LagrangianFlows (RLFs) on metric measure spaces satisfying the synthetic lower Ricci curvature bound condition RCD(K,N). RLFs are flows of (possibly nonsmooth) vector fields with integral Hessian bounds which arise naturally in the study of spaces with lower Ricci curvaturebounds. I will outline the applications of such results to the study of the structure theory of RCD spaces, including Hölder continuity of tangent cones along geodesics, non-branching of geodesics and the Margulis lemma. Parts of the talk will be based onjoint work with Elia Brué, Daniele Semola, Xinrui Zhao, Jaime Santos and Sergio Zamora.
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