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On a $p$-adic vanishing theorem of Garland


Author: W. Casselman
Journal: Bull. Amer. Math. Soc. 80 (1974), 1001-1004
MSC (1970): Primary 20E40, 20G10, 20G25
DOI: https://doi.org/10.1090/S0002-9904-1974-13611-6
MathSciNet review: 0354933
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  • 1. A. Borel, Cohomologie de certains groupes discrets et Laplacien p-adique, Séminaire Bourbaki: 1973, Exposé 437.
  • 2. W. Casselman, The Steinberg character as a true character, Harmonic analysis on homogeneous spaces (Proc. Sympos. Pure Math., Vol. XXVI, Williams Coll., Williamstown, Mass., 1972) Amer. Math. Soc., Providence, R.I., 1973, pp. 413–417. MR 0338273
  • 3. W. Casselman and D. Wigner, Continuous cohomology and a conjecture of Serre’s, Invent. Math. 25 (1974), 199–211. MR 0352333, https://doi.org/10.1007/BF01389727
  • 4. Howard Garland, 𝑝-adic curvature and the cohomology of discrete subgroups of 𝑝-adic groups, Ann. of Math. (2) 97 (1973), 375–423. MR 0320180, https://doi.org/10.2307/1970829
  • 5. D. A. Každan, On the connection of the dual space of a group with the structure of its closed subgroups, Funkcional. Anal. i Priložen. 1 (1967), 71–74 (Russian). MR 0209390
  • 6. Jean-Pierre Serre, Cohomologie des groupes discrets, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Princeton Univ. Press, Princeton, N.J., 1971, pp. 77–169. Ann. of Math. Studies, No. 70 (French). MR 0385006

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DOI: https://doi.org/10.1090/S0002-9904-1974-13611-6