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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Stable and $L^2$-cohomology of arithmetic groups
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by A. Borel PDF
Bull. Amer. Math. Soc. 3 (1980), 1025-1027
References
  • Armand Borel, Cohomologie réelle stable de groupes $S$-arithmétiques classiques, C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A1700–A1702 (French). MR 308286
  • Armand Borel, Stable real cohomology of arithmetic groups, Ann. Sci. École Norm. Sup. (4) 7 (1974), 235–272 (1975). MR 387496, DOI 10.24033/asens.1269
  • Armand Borel, Cohomology of arithmetic groups, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 435–442. MR 0578905
    • 4. A. Borel and H. Garland, Laplacian and discrete spectrum of an arithmetic group (in preparation).
  • Armand Borel and Nolan R. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Annals of Mathematics Studies, No. 94, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 554917
  • Jeff Cheeger, On the Hodge theory of Riemannian pseudomanifolds, Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979) Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980, pp. 91–146. MR 573430
  • F. T. Farrell and W. C. Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 325–337. MR 520509
  • Robert P. Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Mathematics, Vol. 544, Springer-Verlag, Berlin-New York, 1976. MR 0579181, DOI 10.1007/BFb0079929
  • Nolan R. Wallach, Automorphic forms, New developments in Lie theory and their applications (Córdoba, 1989) Progr. Math., vol. 105, Birkhäuser Boston, Boston, MA, 1992, pp. 1–25. Notes by Roberto Miatello. MR 1190733, DOI 10.1007/s10107-005-0674-4
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 3 (1980), 1025-1027
  • MSC (1980): Primary 18H10; Secondary 20G10, 20G30, 53C39
  • DOI: https://doi.org/10.1090/S0273-0979-1980-14840-5
  • MathSciNet review: 585182