Diff. Geom, Math. Phys., PDE Seminar: Christos Mantoulidis

  • Date: 10/09/2018
  • Time: 15:30
Christos Mantoulidis, MIT

University of British Columbia


Minimal surfaces and the Allen-Cahn equation on 3 manifolds


The Allen--Cahn equation is a semi-linear PDE that produces minimal surfaces via a certain singular limit. We will describe recent work proving index, multiplicity, and curvature estimates in the context of an Allen--Cahn min-max construction in a 3-manifold. Our results imply, for example, that in a 3-manifold with a generic metric, for every positive integer p, there is an embedded two-sided minimal surface of Morse index p. This is joint with Otis Chodosh.

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Location and time: MATH 105 3:30pm-4:30pm