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Topics in Teichmuller Theory and Kleinian Groups |
| November 12, 2007 to November 16, 2007 |
| Organized By: Jeff Brock, Ken Bromberg, Richard Canary, Howard Masur, Alan Reid, Maryam Mirzakhani, and John Smillie |
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| Parent Programs: |
| Teichmuller Theory and Kleinian Groups |
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| Return to Workshop Description |
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Dynamics on an infinite surface with the lattice property
Friday November 16, 2007
09:30AM - 10:30AM
Speakers:
Patrick Hooper
Abstract:
We will obtain an infinite area translation surface with
infinite genus by applying a limiting process to surfaces built from
regular n-gons and letting n go to infinity. We will investigate
properties of various dynamical systems on this surface. We will study
the action of the surface's affine automorphism group, which
corresponds to a lattice in SL(2,R). We will also discuss the
dynamics of the geodesic flow. A weak version of Veech's dichotomy
holds.
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