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Geometric Analysis and Partial Differential Equations Seminar

June 7, 2013 @ 10:30 am - 11:30 pm

Geometric Analysis and Partial Differential Equations Seminar Series at UOW
Speaker

Mr Lashi Bandara (The Australian National University)

Title

Geometry and the Kato square root problem

Abstract

Since the resolution of the Kato square root problem on Euclidean space in 2002, there have been a number of developments in the understanding of versions this problem on manifolds and Lie groups. There have been a number of positive results for uniformly elliptic divergence form operators, for perturbations of the inhomogeneous Hodge-Dirac operator, and in the setting of Lie groups, uniformly sub-elliptic operators. I will talk about these results, their connection to PDE, and in particular, possible connections to geometric flows.

Details

Date:
June 7, 2013
Time:
10:30 am - 11:30 pm
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Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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