Jorge Urrutia, external link, opens in new window, Universidad Nacional Autónoma de México (Ferran Hurtado Memorial Lecture)
Title: Art Gallery Problems
Abstract: In this talk we will briefly review some of the classical old results on Art Gallery problems, and present some recent results on illumination problems in the plane and in R3. In particular, we will review some results on plane unit-orthogonal polygons, sums of angles and visibility of polyhedra in R3. Some open problems in particular for polyhedra will also be presented.
Bio: Prof. Urrutia is a member of the Mathematics Research Institute at Universidad Nacional Autónoma de México. He obtained his bachelor degree at UNAM, and his master's and Ph.D. at the University of Waterloo. He was co-editor in chief of Computational Geometry, Theory and Applications 1990-2000, and co-edited with Joerg-Ruediger Sack the Handbook of Computational Geometry, published by Elsevier in 2000. He has worked on several areas of computational geometry, geometric problems in partial orders, point sets, routing problems, and graph theory. With Ferran Hurtado he co-authored a number of papes on flipping edges, visibility problems, colored ray configurations, point sets, and geometric graphs, among others.