2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60073The purpose of this article is to survey the developments on the Kakeya problem in recent years, concentrating on the period after the excellent 1999 survey of Wolff, and including some recent work by the authors. We will focus on the standard Kakeya problem for line segments and not discuss other important variants (such as Kakeya estimates for circles, light rays, or $k$-planes).15 pages, no figures, El Escorial 2000 conference proceedings. References updated slightlyClassical Analysis and ODEs42B25; 05C35text