Geometry Colloquium

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.)

2014/10/17

10:00-11:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Yu Kitabeppu (Kyoto University)
A finite diameter theorem on RCD spaces (JAPANESE)
[ Abstract ]
I will talk about a finite diameter theorem on RCD spaces of (possibly) infinite dimension. An RCD space is a generalization of a concept of a manifold with bounded Ricci curvature. Savar¥'e proves the "self-improving property" on RCD spaces via the Gamma calculus. Because of his work and Kuwada’s duality argument, we are able to get the L^{¥infty}-contraction of heat kernels. I will show the main result by combining the contraction property and a simple lemma.