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Cohomologie des groupes discrets et formes automorphes. (French) Zbl 0559.14013

Variétés de Shimura et fonctions L, Publ. Math. Univ. Paris VII, No. 6, 131-143 (1979).
[For the entire collection see Zbl 0517.00003.]
In the main part of the seminar of which this text is the last lecture the zeta function of a certain Shimura variety was expressed as the product of L-functions of automorphic representations [cf. J. P. Labesse, ibid., pp. 83-130 (1979; see the preceding review)]. In this lecture the connection of such formulas with the cohomology of arithmetic groups is (very roughly) sketched.
Reviewer: J.G.M.Mars

MSC:

14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
11F70 Representation-theoretic methods; automorphic representations over local and global fields