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Peter McGrath, NC State, Quantitative Isoperimetric Inequalities on Riemannian Surfaces

August 19, 2020 | 2:00 pm - 3:00 pm EDT

In this talk, we introduce a scattering asymmetry which measures the asymmetry of a domain on a surface by quantifying its incompatibility with an isometric circle action. We prove a quantitative isoperimetric inequality involving the scattering asymmetry and characterize the domains with vanishing scattering asymmetry by their rotational symmetry. We also give a new proof of the sharp Sobolev inequality for Riemannian surfaces which is independent of the isoperimetric inequality. This is joint work with J. Hoisington.
 
Host: Peter McGrath  pjmcgrat@ncsu.edu
Instructions to join: Zoom invitation is sent to the geometry and topology seminar list. If you are not on the list, please, contact the host to get the link.

Details

Date:
August 19, 2020
Time:
2:00 pm - 3:00 pm EDT
Event Category:

Venue

Zoom