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.

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.

Host: