Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Dr. Qin Deng,MIT
Inviter:
Title:	Regularity of Lagrangian flows on RCD spaces and applications
Language:	Chinese
Time & Venue:	2023.07.07 09:00-10:00 Zoom会议：831 7951 2816 密码：0707
Abstract:	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 H?lder 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.