Wednesday, January 17, 2018
2:30 PM -
3:30 PM
Building 15, Room 131
Analysis Seminar
Series: Analysis Seminar Series
Differentiability and rectifiability on metric planes
Since the work of Cheeger, many non-smooth metric measure spaces are now known to support a differentiable structure for Lipschitz functions. The talk will discuss this structure on metric measure spaces with quantitative topological control: specifically, spaces whose blowups are topological planes. We show that any differentiable structure on such a space is at most 2-dimensional, and furthermore that if it is 2-dimensional the space is 2-rectifiable. This is partial progress on a question of Kleiner and Schioppa, and is joint work with Bruce Kleiner.
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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].