Date: 4 October 2013, 4:30pm Location: Hempfield High School, Room 213 Speaker: Herman Gluck, University of Pennsylvania Title: Lipschitz Minimality of Group Multiplication on the Three-Sphere Abstract. The most beautiful maps between beautiful spaces ought to be optimal in some specific mathematical sense, and then characterized by that optimality. Haomin Wen, a graduate student at Penn, has recently proved that the group multiplication map m: S3 × S3 -> S3 is a Lipschitz constant minimizer in its homotopy class, uniquely so up to composition with isometries of domain and range. I will explain the background to Haomin's result, and then give a taste of his ideas.