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Construction of harmonic maps between Riemannian manifolds

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Speaker: 
Anna Siffert
Affiliation: 
MPIM/Heidelberg
Date: 
Mon, 2018-06-04 13:00 - 14:00
Location: 
MPIM Lecture Hall

By definition, harmonic maps between Riemannian manifolds are critical points of the energy functional.
In local coordinates the condition for a map to be harmonic constitutes a system of non-linear,
elliptic partial differential equations of second order.
Clearly, solutions to such differential equations are typically such maps are hard to construct.
In this talk we present a few construction methods of harmonic maps between Riemannian manifolds.
Furthermore, we will briefly explain applications of harmonic maps to other research areas (in Mathematics).

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