The poset of acylindrically hyperbolic structures on a group
Introductory Workshop: Geometric Group Theory August 22, 2016  August 26, 2016
Location: SLMath: Eisenbud Auditorium
geometric group theory
hyperbolic group
acylindrically hyperbolic structures
posets
applications
rigidity results
20Jxx  Connections of group theory with homological algebra and category theory
00A35  Methodology of mathematics {For mathematics education, see 97XX}
14594
For every group G, we introduce the set of acylindrically hyperbolic structures on G, denoted AH(G). One can think of elements of AH(G) as cobounded acylindrical Gactions on hyperbolic spaces considered up to a natural equivalence.Elements of AH(G) can be ordered in a natural way according to the amount of information they provide about the group G. We will discuss some basic questions about the poset structure of AH(G) as well as more advanced results about the existence of maximal acylindrically hyperbolic structures and rigidity phenomena
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