Title:On the Soul Conjecture in Alexandrov geometry

Dr. Wang, Yusheng, Beijing Normal University and Rutgers, 3:30-4:30pm, Hill 005,

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.