SMS scnews item created by Haotian Wu at Fri 6 Oct 2017 1633
Type: Seminar
Modified: Mon 23 Oct 2017 1700
Distribution: World
Expiry: 7 Apr 2018
Calendar1: 26 Oct 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Changwei Xiong -- Homotopy type of manifolds with partially positive curvature

Geometry & Topology Seminar

Homotopy type of manifolds with partially positive curvature

Changwei Xiong (ANU)

Thursday 26 October 12:00–13:00 in Carslaw 535A.

Please join us for lunch after the talk!

Abstract: It is well-known that Riemannian metrics on a manifold will put some restriction on its topology. For instance, thanks to Cheeger-Gromoll-Meyer, a compact Riemannian manifold with positive sectional curvature and with convex boundary must be a topological disk. Later H. Wu, J. Sha, and Lawson-Michelsohn studied the homotopy type of manifolds with weaker conditions on sectional curvature and boundary convexity. In this talk I will present our recent work along this line. If we view the previous results as the Euclidean ones, our results may be viewed as the hyperbolic ones.

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