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Title:
Divergence of geodesics
Speaker:
Abstract:
The divergence of geodesics measures how fast geodesics spread apart, and with a bit of care can be defined to produce a large-scale geometric statistic related to curvature. I’ll define divergence and higher-dimensional analogs, emphasizing examples. This gives an interesting family of geometric invariants “at infinity.” I’ll discuss results on divergence in settings of interest for geometric topologists and geometric group theorists: mapping class groups, Teichmuller space, and right-angled Artin groups.
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