This work compiles expository articles from a three-week program of lectures at the Institute for Advanced Study/Park City Mathematics Institute summer program on geometric combinatorics. Five lectures are presented for each topic. Topics include lattice points, polyhedra, and complexity; root systems and generalized associahedra; combinatorial differential topology and geometry; equivariant invariants and linear geometry; hyperplane arrangements; Poset topology; and convex polytopes. Most of the material is aimed at graduate students or researchers approaching the subject for the first time. Many of the chapters include exercises, and all include numerous examples. There is no subject index. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)