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Seminar

Postdoc Seminar II: Universal Acylindrical Actions December 02, 2016 (12:00 PM PST - 12:45 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Carolyn Abbott (University of Wisconsin-Madison)
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Given a finitely generated group, one can look for an acylindrical action on a hyperbolic space in which all elements that are loxodromic in some acylindrical action of the group are loxodromic for this particular action.  Such an action is called a universal acylindrical action and, for acylindrically hyperbolic groups, tends to give a lot of information about the group.  I will discuss recent results in the search for universal acylindrical actions, describing a class of groups for which it is always possible to construct such an action as well as an example of a group for which no such action exists. 

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