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CAT(0) Cube Complexes and Low Dimensional Cohomology

Connections for Women: Geometric Group Theory August 17, 2016 - August 19, 2016

August 18, 2016 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): Talia Fernós (Vanderbilt University; University of North Carolina)
Location: SLMath: Eisenbud Auditorium
Video

14579

Abstract

CAT(0) cube complexes are charming objects with many striking properties. For example, they admit two interesting, and naturally coupled metrics: the CAT(0) metric and the median metric, allowing one to access the rich tools from each of those worlds. The study of low dimensional cohomology of a group touches upon several important aspects of group theory: Property (T), the Haagerup Property, stable commutator length, and even superrigidity. In this talk, we will discuss CAT(0) cube complexes, and how they provide a nice framework for finding low dimensional cohomology classes such as the Haagerup Cocycle and various generalization of the Brooks cocycle.

Supplements
26546?type=thumb Fernos Notes 229 KB application/pdf Download
Video/Audio Files

14579

H.264 Video 14579.mp4 334 MB video/mp4 rtsp://videos.msri.org/data/000/026/406/original/14579.mp4 Download
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