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Geometric Analysis Seminar

The moduli space of harmonic maps from the  2-sphere to the m-sphere

Luis Fernandez, Graduate Center of CUNY

Location:  Hill 705
Date & time: Friday, 23 March 2018 at 2:45PM - 3:45PM

ABSTRACT: I will describe how to construct any harmonic map from the 2-sphere to the m-sphere using a purely algebraic algorithm. This construction leads, in particular, to a lower bound on the dimension of the space of harmonic maps from the 2-sphere to the m-sphere of a given area. Then I will discuss how to get an upper bound on the dimension of this space.

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