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Seminar

Postdoc Lunch Seminar II: Positive sectional curvature and torus symmetry February 05, 2016 (01:10 PM PST - 02:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Lee Kennard (University of Oklahoma)
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It is a classical question to examine which smooth manifolds admit Riemannian metrics with positive/non-negative sectional curvature. In this talk, I will discuss some joint work with Manuel Amann on this question in the presence of torus symmetry, specifically in small dimensions. It extends work of Dessai, where a number of topological invariants of 8-manifolds with positive curvature and torus symmetry are calculated, both in general and under additional assumptions (e.g., rationally elliptic or homogeneous).

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