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Hyperbolic and elliptic commensurations

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OGG - Operators, Graphs, Groups

A group G is said to commensurate a subgroup H, if for all g \in G, Hg \cap H is of finite index in H and Hg, where H^g denotes the conjugate of H by g. The commensuration action of G on H can be studied dynamically. This gives rise  to two extreme behaviors: hyperbolic and elliptic. We will discuss what these mean and survey a range of theorems and conjectures in this context, starting with work of Margulis, and coming to the present day.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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