Math 851 – Fall 2014 SYLLABUS Syllabus LECTURE NOTES Lecture 0: Background Lecture 1: Minkowski Spaces Lecture 2: Hyperbolic Spaces Lecture 3: Arc Length and Volume Lecture 4: Mobius Transformations and Conformal Models of H^n SOURCES U. Haagerup and H. Munkholm, Simplices of maximal volume in hyperbolic n-space H. Munkholm, Simplices of maximal volume in hyperbolic space, Gromov’s norm and Gromov’s proof of Mostow’s rigidity theorem (following Thurston) W. Thurston, The geometry and topology of three-manifolds