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# Mark Stern : Introduction to nonlinear harmonic forms.

We motivate and introduce nonlinear harmonic forms. These are de Rham representatives $z$ of cohomology classes which minimize the energy $\|z\|_{L_2}^2$ subject to a nonlinear constraint. We give basic existence results for quadratic constraints, discuss the rich Euler Lagrange equations, and ask many regularity questions.

**Category**: Geometry and Topology**Duration**: 01:34:52**Date**: January 27, 2015 at 4:25 PM**Views**: 151-
**Tags:**seminar, Geometry/topology Seminar

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