University of Connecticut

PDE and Differential Geometry Seminar


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Title: Static manifolds of positive scalar curvature
Speaker: Lucas Ambrozio (University of Chicago)
Time: Monday, March 20, 2017 at 2:30 pm
Place: MONT 214Abstract: We will discuss a few results toward the classification of static three-manifolds, with emphasis on the positive scalar curvature case. In particular, we will explain a general splitting result for area-minimizing surfaces and some of its topological consequences, and explore more systematically the observation that those manifolds are the orbit space of a (possibly singular) Einstein four-manifold admitting certain isometric S^1 actions.

Organizer: Armando Cabrera