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Spring 2025 Department of Mathematics Colloquium - Christine Breiner

Feb

12

Seminar
Chandler-Ullmann Hall Room 218
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Harmonic maps to metric spaces and applications

​Christine Breiner, Brown University

Abstract: Harmonic maps are critical points for the energy functional and existence and compactness results for harmonic maps have played a major role in the advancement of geometric analysis. Gromov-Schoen and Korevaar-Schoen developed a theory of harmonic maps into metric spaces with non-positive curvature in order to address rigidity problems in geometric group theory. In this talk we consider harmonic maps into metric spaces with upper curvature bounds. We will define these objects, state some key results, and highlight their application to rigidity and uniformization problems.

Tea and refreshments available at 3:00 p.m. in the Assmus Conference Room (CU 212).

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