Friday, November 17, 2023
Time  Items 

All day 

10am 
11/17/2023  10:00am A relaxedpace seminar on impromptu subjects related to the interests of the audience. Everyone is welcome. The subjects are geometry, probability, combinatorics, dynamics, and more! Location:
KT 801

2pm 
11/17/2023  2:00pm Abstract: It has been a classical question which manifolds admit Riemannian metrics with positive scalar curvature. A manifold is called aspherical if it has contractible universal cover. By works of Chodosh—Li, Gromov, and Chodosh—Li—Liokumovich, for n = 4, 5, the connected sum of a closed aspherical nmanifold with an arbitrary closed manifold does not admit a metric with positive scalar curvature. We prove that for n = 3,4,5, the connected sum of a closed aspherical nmanifold with an arbitrary noncompact manifold does not admit a complete metric with nonnegative scalar curvature. In particular, a special case of our result answers a question of Gromov. This is joint work with Jianchun Chu and Jintian Zhu. Location:
KT 906
