Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, April 16, 2018 - 16:00 to 17:00
Location: 
Kidder 350

Speaker Info

Institution: 
Wichita State University
Abstract: 

The classification of manifolds of positive and non-negative sectional curvature is a long standing problem in Riemannian geometry. In particular, restricting our attention to closed, simply-connected manifolds, there are no topological obstructions that allow us to distinguish between positive and non-negative curvature, that is, we have no examples of manifolds that admit a metric of non-negative curvature that do not admit a metric of positive curvature. However, with the introduction of symmetries, we are able to distinguish between these two classes. In this context, I will discuss some recent joint work with Christine Escher on non-negatively curved manifolds with abelian symmetries.