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Joint Princeton-Rutgers Seminar on Geometric PDE's

Isoperimetric inequalities on surfaces

Yannick Sire, Johns Hopkins University

Location:  Fine 224, Princeton University
Date & time: Monday, 20 November 2017 at 3:00PM - 4:00PM

Abstract: I will describe several recent results concerning extremal 
metrics and values of isoperimetric constants on different surfaces like 
the 2-sphere, the real projective plane or the Klein bottle. The idea is 
to find a metric realizing the supremum of a given eigenvalue over the 
whole set of Riemannian metrics on the surface. This problem (and its 
solutions) has a very strong link with the theory of harmonic maps.

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