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"Analysis on Metric-Measure spaces -- Cheeger energy and measurable Riemannian structure"

Dr. Jun Kigami, University of Kyoto

Thursday, March 14, 2013
  3:40–5 p.m.


Location: Surge Building 284
  Parking Information

Category: Colloquium

Description: Tea time @ 3:40 p.m.

Talk begins @ 4:10 p.m.

Ends @ 5:00 p.m.

Abstract: 

Under certain conditions, Cheeger has constructed ”measurable differentiable structures” on measure-metric spaces, based on Lipschitz functions. On the other hand, there is a notion of ”measurable Riemannian structure” induced by Brownian motion or a Dirichlet form on fractals like the Sierpinski gasket. In general, very little is known about 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 discuss unsolved problems about them.



Additional Information: Math Colloquiums

Open to: General Public
Admission: Free
Sponsor: Mathematics

Contact Information:
Dr. Michel Lapidus

lapidus@math.ucr.edu