2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119810I announce a solution of the conjecture about the measure of periodic points for planar billiard tables. The theorem says that if $\Om\subset\R^2$ is a compact domain with piecewise $C^3$ boundary, then the set of periodic orbits for the billiard in $\Om$ has measure zero. Here I outline a proof. A complete version will appear elsewhere.24 pages, 6 figuresDynamical SystemsAnalysis of PDEstext