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SUMMARY:Pappus's Theorem\, Patterns of Geodesics\, and Representations of 
  the Modular Group
DTSTART:20250616T120000Z
DTEND:20250616T131500Z
DTSTAMP:20260505T071800Z
UID:indico-event-14497@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Richard Schwartz (Brown University)\n\nThis talk is 
 about a mixture of old and new work. First I will talk about how you can i
 terate Pappus's theorem and construct a 2-parameter family of relatively A
 nosov representations of the modular group into Isom(X)\, where X = SL(3\,
 R)/SO(3). Then I will explain how to interpret these representations as sy
 mmetry groups of patterns of geodesics in X that have the same asymptotic 
 properties as the Farey graph in the hyperbolic plane. Finally I will say 
 a few words about how this picture allows for a complete classification of
  the Barbot component of discrete faithful representations of the modular 
 group into Isom(X).\n\nhttps://indico.math.cnrs.fr/event/14497/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/14497/
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