Finiteness conditions for classifying spaces for the family of virtually cyclic subgroups.
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NPC - Non-positive curvature group actions and cohomology
A conjecture of Juan-Pineda and Leary states that any group admitting a cocompact model for the classifying space for the family of virtually cyclic subgroups has to be virtually cyclic already. This conjecture has been proved for large classes of groups. In this talk I will give an overview of some of these results and constructions, will discuss a weakened condition for these spaces, and will give examples of groups satisfying this condition.
This talk is part of the Isaac Newton Institute Seminar Series series.
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