Sewing Riemannian Manifolds with Positive Scalar Curvature

When
Start: 10/04/2017 - 4:15pm
End  : 10/04/2017 - 5:15pm

Category
Colloquium

Speaker
Jorge Basilio(Pitzer)

Abstract
We explore to what extent one may hope to preserve geometric properties of three dimensional manifolds with lower scalar curvature bounds under Gromov-Hausdorff and Intrinsic Flat limits. We introduce a new construction, called sewing, of three dimensional manifolds that preserves positive scalar curvature. We then use sewing to produce sequences of such manifolds which converge to spaces that fail to have nonnegative scalar curvature in a certain generalized sense. These examples demonstrate that a certain question of Gromov is false. 

Where
Argue Auditorium, Millikan, Pomona College