Minimizing Maps and Topological Singularities

Minimizing Maps and Topological Singularities

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Fanghua Lin, New York University Courant Institute

Zoom linkhttps://princeton.zoom.us/j/594605776

 

In this little survey talk, I shall discuss minimizing maps into spheres of various dimensions. Of particular interests are minimizing maps in homotopy classes and the related "relaxed energies” and "defect measures". A notion of Jacobian and its connection to the (local) topological singularities come into play. There remain several challenging open questions.