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Non-negative curvature and torus actions

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Christine Escher
Oregon State University/MPI
Don, 2017-07-13 16:30 - 17:30
MPIM Lecture Hall

 The classification of Riemannian manifolds with positive and non-negative sectional curvature is a long-standing problem in Riemannian geometry. In this talk I will summarize recent joint work with Catherine Searle on the classification of closed, simply-connected, non-negatively curved Riemannian manifolds admitting an isometric, effective, maximal torus action. This classification has many
applications, in particular the Maximal Symmetry Rank conjecture holds for this class of manifolds. 

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