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Stable and $L^2$-cohomology of arithmetic groups


Author: A. Borel
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
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  • 2. A. Borel, Stable real cohomology of arithmetic groups, Annales E.N.S. Paris (4) 7 (1974), 235-272. MR 387496
  • 3. A. Borel, Cohomology of arithmetic groups, Proc. Internat. Congr. Math. Vancouver, 1974, vol. 1, pp. 435-442. MR 578905
  • 4. A. Borel and H. Garland, Laplacian and discrete spectrum of an arithmetic group (in preparation).
  • 5. Armand Borel and Nolan R. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Annals of Mathematics Studies, vol. 94, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 554917
  • 6. 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
  • 7. 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
  • 8. R. P. Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Math., vol. 544, Springer-Verlag, Berlin and New York, 1976. MR 579181
  • 9. 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, https://doi.org/10.1007/s10107-005-0674-4

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DOI: https://doi.org/10.1090/S0273-0979-1980-14840-5

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