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International Conference on Non-Positive Curvature in Group Theory, Topology, and Geometry
May 28-31, 1998
Vanderbilt University
Nashville, TN, USA

Organizers
B. Hughes, M. Mihalik, E. Prassidis, J. Ratcliffe, K. Ruane, M. Sapir, E. Schechter

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Varying Group Actions on CAT(0) Spaces
by
Ross Geoghegan
State University of New York at Binghampton
Coauthors: Robert Bieri

I will describe a property of isometric actions of a group G on a CAT(0) space which coincides with something familiar when the action has discrete orbits but is unfamiliar in the indiscrete case. Our best theorem is that this property of (possibly indiscrete) actions is an open condition.

The newest feature of this work is a version of the Bieri-Neumann-Strebel-Renz invariant for such actions, generalizing the "classical" case of G-actions by translations on a Euclidean space. We don't yet fully understand this generalization but I'll explain what I can and I'll describe a decent conjecture or two.

Date received: May 11, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabb-47.