The conformal geometry of billiards
journal contributionposted on 27.05.2011 by Laura G. DeMarco
Any type of content formally published in an academic journal, usually following a peer-review process.
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.