Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, November 19, 2018 - 12:00 to 12:50

Location:

Kidd 236

Abstract:

The group of isometries G of a compact Riemannian manifold M is a compact Lie group. The symmetry rank of M is defined as the rank of G. For a manifold with positive sectional curvature, we know that the symmetry rank is roughly half the dimension of M by results of Grove and Searle. For the case of a closed, simply-connected, non-negatively curved manifold, it is conjectured that the symmetry rank is roughly two-thirds the dimension of the manifold. In this talk we will discuss recent work on closed, simply-connected, non-negatively curved manifolds that admit an almost isotropy-maximal torus action.