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Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1
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- 1 Start
- 2 Hyperbolic geometry, the modular group and Diophantine approximation Lecture - 01
- 3 H Hyperbolic plane
- 4 Boundary of H
- 5 Subgroups of SL2,R
- 6 Observation
- 7 Let S'H be the unit tangent bundle over H
- 8 Observation:
- 9 Hence
- 10 Geodesic flow
- 11 Observation
- 12 Note
- 13 Recall
- 14 Example
- 15 Fundamental domains
- 16 Dirichlet fundamental domain
- 17 Proposition
- 18 Proof
- 19 Claim
- 20 Imaginary part
