Monday Analysis Seminar: Analysis on MeasureMeｔｒic spaces — Cheeger energy and measurable Riemannian structure —
 Date

2012109 15:00 
2012109 16:15
 Place
 Faculty of Science Buliding #3 Room 210

Speaker/Organizer
 Jun Kigami (Kyoto University)

 Under certain conditions, Cheeger has constructed "measurable differentiable structures" on measuremetric 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.