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SUMMARY:Pappus's theorem\, the modular group\, and patterns of geodesics -
  Richard Schwartz (Brown University)
DTSTART:20250711T081500Z
DTEND:20250711T091500Z
UID:TALK232861@talks.cam.ac.uk
DESCRIPTION:This talk reports on a mixture of old and new\nwork concerning
  the construction of representations of\nthe modular group into Isom(X) us
 ing Pappus's Theorem.\nHere&nbsp\; X = SL_3(R)/SO(3) .&nbsp\; &nbsp\;One n
 ew thing is the interpretation\nof the Pappus modular groups as symmetry g
 roups of patterns of geodesics\nin X which have the same asymptotic proper
 ties as the edges\nof the Farey triangulation of the hyperbolic plane.&nbs
 p\; &nbsp\; I will explain\nat least briefly how this point of view leads 
 to a complete\ncharacterization of the Barbot component of discrete faithf
 ul\nrepresentations of the modular group into Isom(X).
LOCATION:Seminar Room 1\, Newton Institute
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