12:30 pm Wednesday, December 12, 2012
Thesis Defense: Fuchsian Groups of Signature (0:2,...,2;1;0) with Rational Hyperbolic Fixed Points by Mark Norfleet (UT Austin) in RLM 12.166
We construct Fuchsian groups G of signature (0:2,...,2;1;0) so that the set of hyperbolic fixed points of G will contain a given finite collection of elements in the boundary of the hyperbolic plane. We use this to establish that there are infinitely many non-commensurable noncocompact Fuchsian groups H of finite covolume sitting in PSL(2,Q) so that the set of hyperbolic fixed points of H will contain a given finite collection of rational boundary points of the hyperbolic plane. This is a thesis defense. Submitted by
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