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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Pappus's theorem, the modular group, and patterns of geodesics
![]() Pappus's theorem, the modular group, and patterns of geodesicsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. NPCW06 - Non-positive curvature and applications This talk reports on a mixture of old and new work concerning the construction of representations of the modular group into Isom(X) using Pappus’s Theorem. Here X = SL_3®/SO(3) . One new thing is the interpretation of the Pappus modular groups as symmetry groups of patterns of geodesics in X which have the same asymptotic properties as the edges of the Farey triangulation of the hyperbolic plane. I will explain at least briefly how this point of view leads to a complete characterization of the Barbot component of discrete faithful representations of the modular group into Isom(X). This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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