Analysis Seminar

Title: “ Isoperimetry and extremal metrics on Riemannian manifolds”
Speaker: Yannik Sire
Speaker Info: Johns Hopkins Univ.
Brief Description:
Special Note:

I will report on a joint program initiated with N. Nadirashvili about the existence and regularity of critical metrics (in conformal classes) of eigenvalues of the Laplace-Beltrami operator. There are deep links between such metrics and minimal surfaces in euclidean spheres. I will explain how to build such metrics and provide several applications on isoperimetry on the 2-sphere and the real projective plane. Then I will move on to the higher dimensional case where the situation is trickier and only partial results are available. I will describe several on-going projects and open problems.
Date: Monday, January 14, 2019
Time: 4:10pm
Where: Lunt 105
Contact Person: Steve Zelditch
Contact email: zelditch@math.northwestern.edu
Contact Phone: 847-491-5580
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