Abstract The geometry of manifolds governs behaviors of the geodesic flow and the Brownian motion on manifolds. Likewise, the geodesic flow and the Brownian motion on manifolds reflect the geometry of manifolds. Thus we can deduce geometric properties of manifolds from behaviors of the geodesic flow and the Brownian motion. In this talk, we prove the central limit theorem on the Brownian motion on a manifold with sectional curvature bounded between two negative constant and with uniformly bounded first derivatives of sectional curvature which admits a finite-volume quotient. As an application of the Brownian motion and the ergodic theory of geodesic flow, we derive a characterization of asymptotically harmonic manifolds with pinched negative curvature which admit a finite-volume quotient. 일시: 2021.5.20 17:00 ~ 18:00 회의 ID: 816 2351 4885 암호: 653885 https://snu-ac-kr.zoom.us/j/81623514885?pwd=c3A3alZmUUZON3FpdlEzc1ExNWlnQT09