Joint seminar with Rutgers University.

# Special Seminar in Geometric Analysis

For more information about this seminar, contact Stephen McKeown or Alice Chang.

##### CR invariant area functionals and the singular CR Yamabe solutions on the Heisenberg of H^{1}.

Princeton University

##### Isoperimetric inequalities on surfaces

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 linkÂ with the theory of harmonic maps.

,John Hopkins University