Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Eric Swenson/MPIM
Affiliation:

Brigham Young University
Date:

Thu, 07/04/2022 - 16:30 - 17:30 For zoom details contact Stephan Stadler (stadler@mpim...)

We give a different proof that a CAT(0) Group with isolated flats

is hyperbolic relative to the stabilizers of the maximal flats (first

proven by Hruska and Kleiner using asymptotic cones). The approach is

entirely via the boundary and uses the results of Yaman. Along the way we

give reasonable conditions under which a CAT(0) group acts as a convergence

group on a quotient of its boundary. We also define the domain of

discontinuity (in the boundary) of a convex subgroup of a CAT(0) group (on

which the convex subgroup acts properly discontinuous), and give conditions

under which the convex subgroup acts cocompactly on its domain of

discontinuity.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3050