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UID:866841ccb2f76ac84e5004b45420386f
CATEGORIES:Topology/Geometry Seminar
CREATED:20250216T201722
SUMMARY:The space of metric structures on hyperbolic groups
LOCATION:Hill 705
DESCRIPTION:Teichmüller space is a classical construction that, for a given closed hype
 rbolic surface, parameterizes the geometric actions of its fundamental grou
 p on the hyperbolic plane. I will talk about a generalization of this space
 , where for an arbitrary hyperbolic group we consider a metric space that p
 arameterizes its geometric actions on Gromov hyperbolic spaces. Even in the
  surface group case, this space turns out to be much larger than Teichmülle
 r space, and we can find points induced by negatively curved Riemannian met
 rics, Anosov representations, random walks, geometric cubulations, etc. In 
 particular, I will discuss how Green metrics (those encoding admissible ran
 dom walks on the group) are dense in this space. This is joint work with St
 ephen Cantrell and Dídac Martínez-Granado.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Teichmüller space is a classical construction that, for a given closed h
 yperbolic surface, parameterizes the geometric actions of its fundamental g
 roup on the hyperbolic plane. I will talk about a generalization of this sp
 ace, where for an arbitrary hyperbolic group we consider a metric space tha
 t parameterizes its geometric actions on Gromov hyperbolic spaces. Even in 
 the surface group case, this space turns out to be much larger than Teichmü
 ller space, and we can find points induced by negatively curved Riemannian 
 metrics, Anosov representations, random walks, geometric cubulations, etc. 
 In particular, I will discuss how Green metrics (those encoding admissible 
 random walks on the group) are dense in this space. This is joint work with
  Stephen Cantrell and Dídac Martínez-Granado.</p>
CONTACT:Eduardo Reyes, Yale
DTSTAMP:20260829T205129
DTSTART;TZID=America/New_York:20250218T160000
DTEND;TZID=America/New_York:20250218T170000
SEQUENCE:0
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