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Topology/Geometry Seminar

"On the Soul Conjecture in Alexandrov geometry"

Yusheng Wang, Beijing Normal University and Rutgers University

Location:  HILL 005
Date & time: Tuesday, 02 May 2017 at 3:30PM -

Abstract: We consider the Soul Conjecture in Alexandrov geometry which is a generalization of the Soul Conjecture in Riemannian geometry proposed by Cheeger-Gromoll in 1970. The Cheeger-Gromoll conjecture was proved by Perelman in 1994. The generalized Soul Conjecture is known to be true in dimension at most three. In this talk, we give a proof of the conjecture for dimension 4.

This is a joint work with Xiao-chun Rong.

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