Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Reading Group: Kleinian Groups - The Ending Lamination Conjecture and Tameness
I will give an overview of realizability (and unrealizability) of pleated surfaces in various hyperbolic 3-manifolds, introduce simplicial hyperbolic surfaces and (time allowing) Canary's sweepout arguments. The references are the following:
For pleated surfaces, try Thurston's notes "Geometry and topology of three-manifolds" (Sections 8.8-8.10; Ch 9) and Canary Epstein Green (Chapter I.5).
For simplicial hyperbolic surfaces, try the exposition in Minsky's "Classification of punctured-torus groups" (Sec. 5) for a first reading and Canary's "A covering theorem and its applications" has the full proof.