Contains six series of lectures given at the Park City Mathematics Institute 1998 graduate summer school. The topics are representations of semisimple Lie groups, representations in Dolbeault cohomology, a geometric approach to unitary representations attached to elliptic orbits, the method of coadjoint orbits for real reductive groups, geometric methods in representation theory, and minimal representations and reductive dual pairs. The book can be used as a supplementary text for a course on introductory infinite-dimensional representation theory. Annotation c. Book News, Inc., Portland, OR (booknews.com)