Isoperimetric inequalities on surfaces

Monday, November 20, 2017 -
3:00pm to 3:50pm
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.
Yannick Sire
,John Hopkins University
Event Location: 
Fine Hall 224