The action of mapping class group on the Teichmüller space of the Punctured Hyperbolic Solenoid
Topics in Teichmuller Theory and Kleinian Groups
November 14, 2007 11:45 AM to 12:45 PM
Speakers:
Markovic, Vladimir
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Abstract: |
The closure of the union of all Teichmuller spaces of closed
surfaces with at least one and with at most finitely many punctures
removed, is called the Teichmuller space of the Punctured Hyperbolic
Solenoid. A very old and very difficult conjecture asserts that the orbit
of any point under the action of the corresponding mapping class group is
dense in this Teichmuller space. I will briefly describe this subject and
talk about two results of mine. One of these (joint with D. Saric) says
that for every every \epsilon there are two subgroups of PLS(2,Z) that
are not conformally conjugated but are conjugated by a
(1+\epsilon)-quasiconformal map. |
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Lecture #12601
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