zbMATH — the first resource for mathematics

Compactifications and cohomology of modular varieties. (English) Zbl 1158.14306
Arthur, James (ed.) et al., Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3844-X/pbk). Clay Mathematics Proceedings 4, 551-582 (2005).
From the text: This is both a survey on and an introduction into several compactifications of modular varieties and applications to cohomology groups of these spaces. The article is in some sense complementary to the survey articles of J. Schwermer [Cohomology of arithmetic groups and automorphic forms, Proc. Conf., Luminy/Fr. 1989, Lect. Notes Math. 1447, 1–29 (1990; Zbl 0715.11028)] and A. Borel [in: Proc. int. Conf., Neptun/Rom. 1980, Vol. I, Monogr. Stud. Math. 17, 28–45 (1984; Zbl 0525.22013)].
For the entire collection see [Zbl 1083.11002].

14G35 Modular and Shimura varieties
11F75 Cohomology of arithmetic groups