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Harmonic maps into Euclidean Buildings

Recent progress on geometric analysis and Riemannian geometry October 21, 2024 - October 25, 2024

October 23, 2024 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Christine Breiner (Brown University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Harmonic maps into Euclidean Buildings

Abstract

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We describe a regularity result for equivariant harmonic maps from the universal cover of a Riemannian manifold into a (not necessarily locally finite) Euclidean building. As an application we prove non-Archimedean superrigidity for rank 1 symmetric spaces. This result extends the work of Gromov-Schoen, who proved p-adic superrigidity by considering locally finite targets. This work is joint with B. Dees and C. Mese.

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Harmonic maps into Euclidean Buildings

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