Monday Analysis Seminar: Analysis on Measure-Metric spaces — Cheeger energy and measurable Riemannian structure —

2012-10-9 15:00 - 2012-10-9 16:15
Faculty of Science Buliding #3 Room 210
Jun Kigami (Kyoto University)
Under certain conditions, Cheeger has constructed "measurable differentiable structures" on measure-metric spaces based on Lipschitz functions. On the other hand, there exist the notion of "measurable Riemannian structures" induced by Brownian motions/Dirichlet forms on fractals like the Sierpiski gasket. In general, very little is known the relation between those two structures, i.e. measurable differentiable structure and measurable Riemannian structure. In this talk, I am going to review those two structures and unsolved problems around them.

Different day of the week and time.