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Seminar

Geometric Analysis: Metrics of fixed area on high genus surfaces with largest first eigenvalue May 19, 2016 (11:00 AM PDT - 12:00 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Richard Schoen (University of California, Irvine)
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We will describe the problem of maximizing the first eigenvalue on a closed surface among metrics of a fixed area. This is a nonlocal geometric variational problem whose solutions arise as the induced metrics on certain minimal immersions of the surface into a sphere. We will explain a very general existence theorem and describe questions related to the geometry of the solutions.

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