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Mathematics Colloquium

Tuesday, December 8, 2020
12:00pm to 1:00pm
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Critical points of volume functionals
Antoine Song, Department of Mathematics, UC Berkeley,

Many problems in Differential Geometry can be described as the study of critical points of some geometric functionals. I will give a review of two particular instances: in a first part I will talk about the existence theory of minimal hypersurfaces, which has enjoyed many advancements recently, and in a second part I will discuss the notion of minimal volumes of smooth manifolds and the problem of finding corresponding minimizing metrics.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.