Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, October 19, 2020 - 12:00 to 12:50
Location: 
Zoom. Please contact Christine Escher for a link.

Speaker Info

Local Speaker: 
Abstract: 

This talk begins with the presentation of three topological classification results
for closed, simply connected Riemannian 4-manifolds. In particular, we will see
how certain assumptions on symmetry and curvature result in a surprisingly short
list of such manifolds. We will then discuss important results from the theory of
isometric group actions that are used in the proofs of all three classification theorems.
We close out the talk by examining a few illuminating examples and, if time permits,
investigate some of the more technical details of the proofs.