Table of Contents

An introduction to the trace formula by J. Arthur Introduction to Shimura varieties by J. S. Milne Linear algebraic groups by F. Murnaghan Harmonic analysis on reductive $p$-adic groups and Lie algebras by R. E. Kottwitz Homogeneity for reductive $p$-adic groups: An introduction by S. DeBacker Compactifications and cohomology of modular varieties by M. Goresky Introduction to Shimura varieties with bad reduction of parahoric type by T. J. Haines A statement of the fundamental lemma by T. C. Hales Notes on the generalized Ramanujan conjectures by P. Sarnak.