메뉴 건너뛰기




Volumn 129, Issue 1, 1997, Pages 75-119

Supercuspidal representations in the cohomology of Drinfel'd upper half spaces; elaboration of Carayol's program

(1)  Harris, Michael a  

a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039860832     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050159     Document Type: Article
Times cited : (51)

References (38)
  • 1
    • 0003308754 scopus 로고
    • Simple algebras, base change, and the advanced theory of the trace formula
    • Arthur, J. and L. Clozel: Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Ann Math Stud 120 (1989)
    • (1989) Ann Math Stud , pp. 120
    • Arthur, J.1    Clozel, L.2
  • 2
    • 51249162187 scopus 로고
    • Étale cohomology for non-Archimedean analytic spaces
    • Berkovich, V. G., Étale cohomology for non-archimedean analytic spaces, Publ. Math. I.H.E.S., 78, 5-161 (1993)
    • (1993) Publ. Math. I.H.E.S. , vol.78 , pp. 5-161
    • Berkovich, V.G.1
  • 3
    • 0001631720 scopus 로고
    • Vanishing cycles for formal schemes
    • Berkovich, V. G., Vanishing cycles for formal schemes. Invent. Math., 115, 539-571 (1994)
    • (1994) Invent. Math. , vol.115 , pp. 539-571
    • Berkovich, V.G.1
  • 4
    • 0037570070 scopus 로고    scopus 로고
    • handwritten notes of a talk at Toulouse, June, 1994, and private communications April 1995 and February
    • Berkovich, V. G., Etale cohomology for p-adic analytic spaces, handwritten notes of a talk at Toulouse, June, 1994, and private communications April 1995 and February 1996
    • (1996) Etale Cohomology for P-adic Analytic Spaces
    • Berkovich, V.G.1
  • 5
    • 82255185375 scopus 로고
    • Representations of the group GL(n, F), where F is a non-Archimedean local field
    • Bernstein, J. and A. V. Zelevinski: Representations of the group GL(n, F), where F is a non-archimedean local field, Russ Math. Surv 31, 1-68 (1976)
    • (1976) Russ Math. Surv , vol.31 , pp. 1-68
    • Bernstein, J.1    Zelevinski, A.V.2
  • 6
    • 0002872687 scopus 로고
    • Continuous cohomology, discrete subgroups, and representations of reductive groups
    • Princeton University Press
    • Borel, A. and N. Wallach: Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Ann Math. Stud 94, Princeton University Press, (1980)
    • (1980) Ann Math. Stud , vol.94
    • Borel, A.1    Wallach, N.2
  • 7
    • 0001927516 scopus 로고
    • Uniformisation p-adique des courbes de Shimura: Les théorèmes de Čerednik et de Drinfeld, in Courbes Modulaires et Courbes de Shimura
    • Boutot, J.-F. and H. Carayol: Uniformisation p-adique des courbes de Shimura: Les Théorèmes de Čerednik et de Drinfeld, in Courbes Modulaires et Courbes de Shimura, Astérisque, 196-197. 45-158 (1991)
    • (1991) Astérisque , vol.196-197 , pp. 45-158
    • Boutot, J.-F.1    Carayol, H.2
  • 9
    • 0009276434 scopus 로고
    • Non-Abelian Lubin-Tate theory
    • Automorphic Forms, Shimura Varieties, and L-functions
    • Carayol, H.: Non-abelian Lubin-Tate theory, in Automorphic Forms, Shimura Varieties, and L-functions, Perspect Math, 10, Vol. II, 15-40 (1990)
    • (1990) Perspect Math, 10 , vol.2 , pp. 15-40
    • Carayol, H.1
  • 10
    • 0007219003 scopus 로고
    • On the limit multiplicities of discrete series representations in spaces of automorphic forms
    • Clozel, L.: On the limit multiplicities of discrete series representations in spaces of automorphic forms. Invent. Math. 83, 265 284, (1986)
    • (1986) Invent. Math. , vol.83 , pp. 265-284
    • Clozel, L.1
  • 11
    • 0003117028 scopus 로고
    • Motifs et formes automorphes: Applications du principe de fonctorialité
    • Automorphic Forms, Shimura Varieties, and L-functions
    • Clozel, L.: Motifs et formes automorphes: applications du principe de fonctorialité, in Automorphic Forms, Shimura Varieties, and L-functions, Perspect Math., 10, Vol. I, 77-160 (1990)
    • (1990) Perspect Math., 10 , vol.1 , pp. 77-160
    • Clozel, L.1
  • 12
    • 51649153972 scopus 로고
    • Représentations galoisiennes associées aux représentations automorphes autoduales de GL(n)
    • Clozel, L.: Représentations Galoisiennes associées aux représentations automorphes autoduales de GL(n), Publ. Math. I.H.E.S., 73, 97-145 (1991)
    • (1991) Publ. Math. I.H.E.S. , vol.73 , pp. 97-145
    • Clozel, L.1
  • 13
    • 84974004983 scopus 로고
    • On the cohomology of Kottwitz's arithmetic varieties
    • Clozel, L.: On the cohomology of Kottwitz's arithmetic varieties, Duke Math. J., 72, 757-795 (1993)
    • (1993) Duke Math. J. , vol.72 , pp. 757-795
    • Clozel, L.1
  • 16
    • 0009026157 scopus 로고
    • Coverings of p-adic symmetric domains
    • Drinfel'd, V. G.: Coverings of p-adic symmetric domains, Funct. An. Appl., 10, 107-115 (1976)
    • (1976) Funct. An. Appl. , vol.10 , pp. 107-115
    • Drinfel'd, V.G.1
  • 17
    • 84968492762 scopus 로고
    • P-adic Hodge theory
    • Faltings, G.: p-adic Hodge theory, J. Am. Math. Soc., 1, 255 299 (1988)
    • (1988) J. Am. Math. Soc. , vol.1 , pp. 255-299
    • Faltings, G.1
  • 18
    • 84973998724 scopus 로고
    • The trace formula and Drinfeld's upper halfplane
    • Faltings, G.: The trace formula and Drinfeld's upper halfplane, Duke Math. J., 76, 467-481 (1994)
    • (1994) Duke Math. J. , vol.76 , pp. 467-481
    • Faltings, G.1
  • 20
    • 21444448310 scopus 로고    scopus 로고
    • L-functions and periods of polarized regular motives
    • Harris, M.: L-functions and periods of polarized regular motives, J. Reine Angew. Math., 483, 75-161 (1997)
    • (1997) J. Reine Angew. Math. , vol.483 , pp. 75-161
    • Harris, M.1
  • 22
    • 0001206828 scopus 로고
    • La conjecture de langlands locale numérique pour GL(n)
    • Henniart, G.: La conjecture de Langlands locale numérique pour GL(n). Ann. Scient Éc Norm. Sup., 21, 497-544 (1988)
    • (1988) Ann. Scient Éc Norm. Sup. , vol.21 , pp. 497-544
    • Henniart, G.1
  • 23
    • 0000955445 scopus 로고
    • Caractérisation de la correspondance de Langlands locale par les facteurs ∈ de paires
    • Henniart, G.: Caractérisation de la correspondance de Langlands locale par les facteurs ∈ de paires, Invent. Math., 113, 339-350 (1993)
    • (1993) Invent. Math. , vol.113 , pp. 339-350
    • Henniart, G.1
  • 26
    • 34249841247 scopus 로고
    • On the λ-adic representations associated to some simple Shimura varieties
    • Kottwitz, R.: On the λ-adic representations associated to some simple Shimura varieties, Invent. Math., 108, 653-665 (1992)
    • (1992) Invent. Math. , vol.108 , pp. 653-665
    • Kottwitz, R.1
  • 27
    • 0001941327 scopus 로고
    • Tamagawa numbers
    • Kottwitz, R.: Tamagawa numbers, Ann. of Math., 127, 629-646 (1988)
    • (1988) Ann. of Math. , vol.127 , pp. 629-646
    • Kottwitz, R.1
  • 29
    • 0001039984 scopus 로고
    • On the bad reduction of Shimura varieties
    • Automorphic Forms, Shimura Varieties, and L-functions
    • Rapoport, M.: On the bad reduction of Shimura varieties, in Automorphic Forms, Shimura Varieties, and L-functions, Perspect Math, 10, Vol. I, 77-160 (1990)
    • (1990) Perspect Math, 10 , vol.1 , pp. 77-160
    • Rapoport, M.1
  • 31
    • 84972561962 scopus 로고
    • Representations of GL(n) and division algebras over a p-adic field
    • Rogawski, J.: Representations of GL(n) and division algebras over a p-adic field, Duke Math. J. 50, 161-169 (1983)
    • (1983) Duke Math. J. , vol.50 , pp. 161-169
    • Rogawski, J.1
  • 32
    • 0002378129 scopus 로고
    • On a conjecture of Langlands
    • Schmid, W.: On a conjecture of Langlands, Ann. of Math., 93, 1-42 (1971)
    • (1971) Ann. of Math. , vol.93 , pp. 1-42
    • Schmid, W.1
  • 33
    • 0002180904 scopus 로고
    • Characters, fixed points, and Osborne's conjecture
    • Schmid, W. and K. Vilonen: Characters, fixed points, and Osborne's conjecture, in Contemp. Math., 145 (1993)
    • (1993) Contemp. Math. , pp. 145
    • Schmid, W.1    Vilonen, K.2
  • 34
    • 0003059450 scopus 로고
    • The cohomology of p-adic symmetric spaces
    • Schneider, P. and U. Stuhler: The cohomology of p-adic symmetric spaces, Invent. Math. 105, 47-122 (1991)
    • (1991) Invent. Math. , vol.105 , pp. 47-122
    • Schneider, P.1    Stuhler, U.2
  • 35
    • 0002783118 scopus 로고
    • Continuous cohomology and p-adic Galois representations
    • Sen, S.: Continuous cohomology and p-adic Galois representations, Invent. Math., 82, 89-116 (1980)
    • (1980) Invent. Math. , vol.82 , pp. 89-116
    • Sen, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.