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The conformal geometry of billiards

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journal contribution
posted on 27.05.2011 by Laura G. DeMarco
This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1-form) and an SL2R action on the moduli spaces of these surfaces. We concentrate on the progress toward classification of "optimal" billiard tables, those with the simplest trajectory structure.

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Funding

This research is supported by the National Science Foundation and the Sloan Foundation.

History

Publisher Statement

First published in Bulletin of the American Mathematical Society in 2011, published by the American Mathematical Society; DOI: 10.1090/S0273-0979-2010-01322-7

Publisher

American Mathematical Society

Language

en_US

issn

0273-0979

Issue date

01/01/2011

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