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SUMMARY:Christine Breiner (Brown University)
DTSTART:20231130T140000Z
DTEND:20231130T150000Z
DTSTAMP:20260423T024509Z
UID:IMSRS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMSRS/1/">Ha
 rmonic Maps to Metric Spaces with Upper Curvature Bounds</a>\nby Christine
  Breiner (Brown University) as part of IUT Mathematics Research Seminars (
 IMRS)\n\n\nAbstract\nA natural notion of energy for a map is given by meas
 uring how much the map stretches at each point and integrating that quanti
 ty over the domain. Harmonic maps are critical points for the energy and e
 xistence and compactness results for harmonic maps have played a major rol
 e in the advancement of geometric analysis. Gromov-Schoen and Korevaar-Sch
 oen developed a theory of harmonic maps into metric spaces with non-positi
 ve curvature in order to address rigidity problems in geometric group theo
 ry. In this talk we consider harmonic maps into metric spaces with upper c
 urvature bounds. We will define these objects\, state some key results\, a
 nd demonstrate their application to rigidity and uniformization problems.\
 n
LOCATION:https://researchseminars.org/talk/IMSRS/1/
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