@incollection{AST_2005__298__147_0, author = {Hida, Haruzo}, title = {$p$-adic automorphic forms on reductive groups}, booktitle = {Formes automorphes (I) - Actes du semestre du centre \'Emile Borel, printemps 2000}, editor = {Tilouine Jacques and Carayol Henri and Harris Michael and Vign\'eras Marie-France}, series = {Ast\'erisque}, pages = {147--254}, publisher = {Soci\'et\'e math\'ematique de France}, number = {298}, year = {2005}, mrnumber = {2141703}, zbl = {1122.11026}, language = {en}, url = {http://www.numdam.org/item/AST_2005__298__147_0/} }
TY - CHAP AU - Hida, Haruzo TI - $p$-adic automorphic forms on reductive groups BT - Formes automorphes (I) - Actes du semestre du centre Émile Borel, printemps 2000 AU - Collectif ED - Tilouine Jacques ED - Carayol Henri ED - Harris Michael ED - Vignéras Marie-France T3 - Astérisque PY - 2005 SP - 147 EP - 254 IS - 298 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2005__298__147_0/ LA - en ID - AST_2005__298__147_0 ER -
%0 Book Section %A Hida, Haruzo %T $p$-adic automorphic forms on reductive groups %B Formes automorphes (I) - Actes du semestre du centre Émile Borel, printemps 2000 %A Collectif %E Tilouine Jacques %E Carayol Henri %E Harris Michael %E Vignéras Marie-France %S Astérisque %D 2005 %P 147-254 %N 298 %I Société mathématique de France %U http://www.numdam.org/item/AST_2005__298__147_0/ %G en %F AST_2005__298__147_0
Hida, Haruzo. $p$-adic automorphic forms on reductive groups, in Formes automorphes (I) - Actes du semestre du centre Émile Borel, printemps 2000, Astérisque, no. 298 (2005), pp. 147-254. http://www.numdam.org/item/AST_2005__298__147_0/
[AAF] Arithmeticity in the Theory of Automorphic Forms, Mathematical Surveys and Monographs, vol. 82, American Mathematical Society, 2000. | MR | Zbl
-[ABV] Abelian Varieties, TIFR Studies in Mathematics, Oxford University Press, 1994. | MR | Zbl
-[ACM] Abelian Varieties with Complex Multiplication and Modular Functions, Princeton University Press, 1998. | DOI | MR | Zbl
-[ALG] Algebraic Geometry, Graduate Texts in Math., vol. 52, Springer, 1977. | DOI | MR | Zbl
-[AME] Arithmetic Moduli of Elliptic Curves, Annals of Math. Studies, vol. 108, Princeton University Press, 1985. | MR | Zbl
& -[BCM] Algèbre Commutative, Hermann, Paris, 1961-65. | Zbl
-[CBT] The Crystals Associated to Barsotti-Tate Groups; With Applications to Abelian Schemes, Lect. Notes in Math., vol. 264, Springer, New York, 1972. | MR | Zbl
-[CRT] Commutative Ring Theory, Cambridge studies in advanced mathematics, vol. 8, Cambridge University Press, Cambridge, 1986. | MR | Zbl
-[CSM] Compactification of Siegel Moduli Schemes, LMS Lecture note series, vol. 107, Cambridge University Press, Cambridge, 1985. | MR | Zbl
-[DAV] Degeneration of Abelian Varieties, Springer, 1990. | DOI | MR | Zbl
& -[EGA] Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 4, 1960. | DOI | Numdam | Zbl
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 8, 1961. | Numdam
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 11, 1961. | Numdam
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 17, 1963. | Numdam
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 20, 1964. | Numdam
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 24, 1965. | Numdam
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 28, 1966. | DOI | Numdam
& -Eléments de Geometrie Algébrique, Publ. Math. Inst. Hautes Etudes Sci., vol. 32, 1967. | Numdam
& -[EPE] Euler Products and Eisenstein Series, CBMS Regional Conference Series, vol. 93, American Mathematical Society, Providence, RI, 1997. | DOI | MR | Zbl
-[GIT] Geometric Invariant Theory, Ergebnisse, vol. 34, Springer, 1965. | MR | Zbl
-[GME] Geometric Modular Forms and Elliptic Curves, World Scientific Publishing Co., Singapore, 2000. | DOI | MR | Zbl
-[IAT] Introduction to the Arithmetic Theory of Automorphic Functions, Princeton University Press and Iwanami Shoten, Princeton & Tokyo, 1971. | MR | Zbl
-[LFE] Elementary Theory of -functions and Eisenstein Series, LMSST, vol. 26, Cambridge University Press, Cambridge, 1993. | MR | Zbl
-[MFG] Modular Forms and Galois Cohomology, Cambridge studies in advanced mathematics, vol. 69, Cambridge University Press, Cambridge, 2000. | MR | Zbl
,[PAF] -Adic Automorphic Forms on Shimura Varieties, Springer Monographs in Mathematics, Springer, New York, 2004. | DOI | MR | Zbl
,[RAG] Representations of Algebraic Groups, Academic Press, 1987. | MR | Zbl
-[BZ] Induced representations of reductive -adic groups, I, Ann. scient. Éc. Norm. Sup. 4e série 10 (1977), p. 441-472. | DOI | EuDML | Numdam | MR | Zbl
& -[C] Arithmetic minimal compactification of the Hilbert-Blumenthal moduli spaces, Ann. of Math. 131 (1990), p. 541-554. | DOI | MR | Zbl
-[D] Variété abeliennes ordinaires sur un corps fini, Invent. Math. 8 (1969), p. 238-243. | DOI | EuDML | MR | Zbl
-[D1] Travaux de Shimura, in Séminaire Bourbaki, Lect. Notes in Math., vol. 244, Springer, 1971, Exp. n° 389, p. 123-165. | EuDML | Numdam | MR | Zbl
,[D2] Variétés de Shimura: interprétation modulaire, et techniques de construction de modèles canoniques, Proc. Symp. Pure Math., vol. 33.2, American Mathematical Society, 1979, p. 247-290. | DOI | MR | Zbl
,[DM] The irreducibility of the space of curves of given genus, Publ. Math. Inst. Hautes Études Sci. 36 (1969), p. 75-109. | DOI | EuDML | Numdam | MR | Zbl
& -[DR] Values of abelian -functions at negative integers over totally real fields, Invent. Math. 59 (1980), p. 227-286. | DOI | EuDML | MR | Zbl
& -[DT] Variétés et formes modulaires de Hilbert arithmétiques pour , in Geometric aspects of Dwork theory, Vol. II (A. Adolphson, F. Baldassarri, P. Berthelot, N. Katz & F. Loeser, eds.), Walter de Gruyter GmbH & Co. KG, Berlin, 2004, p. 555-614. | MR | Zbl
& -[Du] Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abhandlungen Math. Sem. Hansischen Universität 14 (1941), p. 197-272. | DOI | JFM | MR | Zbl
-[F] Arithmetic compactifications of Shimura varieties, Master thesis, University of Tokyo, 1989.
-[G] Canonical models of Picard modular surfaces, CRM Publications, vol. 13, 1992, p. 1-29. | MR | Zbl
-[H86a] Iwasawa modules attached to congruences of cusp forms, Ann. scient. Éc. Norm. Sup. 4e série 19 (1986), p. 231-273. | DOI | EuDML | Numdam | MR | Zbl
-[H86b] Galois representations into attached to ordinary cusp forms, Invent. Math. 85 (1986), p. 545-613. | DOI | EuDML | MR | Zbl
,[H88] On -adic Hecke algebras for over totally real fields, Ann. of Math. 128 (1988), p. 295-384. | DOI | MR | Zbl
,[H95] Control theorems of -ordinary cohomology groups for , Bull. Soc. math. France 123 (1995), p. 425-475. | DOI | EuDML | Numdam | MR | Zbl
,[H96] On the search of genuine -adic modular -functions for , Mém. Soc. math. France (N.S.), vol. 67, Société Mathématique de France, 1996, preprint downloadable at www.math.ucla.edu/~hida. | EuDML | Numdam | MR | Zbl
,[H02] Control theorems of coherent sheaves on Shimura varieties of -type, J. Inst, of Math. Jussieu 1 (2002), p. 1-76, preprint downloadable at www.math.ucla.edu/~hida. | DOI | MR | Zbl
,[HM] Non-abelian base change for totally real fields, Pacific J. Math. (1998), p. 189-217, special issue, preprint downloadable at www.math.ucla. edu/~hida. | MR | Zbl
& -[HT] Anticyclotomic Katz -adic -functions and congruence modules, Ann. scient. Éc. Norm. Sup. 4e série 26 (1993), p. 189-259. | DOI | EuDML | Numdam | MR | Zbl
& -[I] Kroneckerian model of fields of elliptic modular functions, Amer. J. Math. 81 (1959), p. 561-577. | DOI | MR | Zbl
-[K] Serre-Tate local moduli, in Surfaces Algébriques, Lect. Notes in Math., vol. 868, Springer, 1978, p. 138-202. | DOI | MR | Zbl
-[K1] Higher congruences between modular forms, Ann. of Math. 101 (1975), p. 332-367. | DOI | MR | Zbl
,[K2] -adic -functions for fields, Invent. Math. 49 (1978), p. 199-297. | DOI | EuDML | MR | Zbl
,[K3] -adic properties of modular schemes and modular forms, Lect. Notes in Math., vol. 350, Springer, 1973, p. 70-189. | MR | Zbl
,[Ko] Points on Shimura varieties over finite fields, J. Amer. Math. Soc. 5 (1992), p. 373-444. | DOI | MR | Zbl
-[L] Arithmetic compactification of some Shimura surfaces, CRM Publications, vol. 13, 1992, p. 31-45. | MR | Zbl
-[MiS] Automorphism groups of Shimura varieties and reciprocity laws, Amer. J. Math. 103 (1981), p. 911-935. | DOI | MR | Zbl
& -[Mik] Models of certain automorphic function fields, Acta Math. 126 (1971), p. 245-307. | DOI | MR | Zbl
-[Mit] On automorphism groups of the fields of automorphic functions, Ann. of Math. 95 (1972), p. 243-252. | DOI | MR | Zbl
-[Mo] Algébres de Hecke quasi-ordinaires universelles, Ann. scient. Éc. Norm. Sup. 4e série 37 (2004), p. 171-222. | DOI | EuDML | Numdam | MR | Zbl
-[Ra] Compactifications de l'espace de modules de Hilbert-Blumenthal, Compositio Math. 36 (1978), p. 255-335. | EuDML | Numdam | MR | Zbl
-[Ri] -adic interpolation via Hilbert modular forms, Proc. Symp. Pure Math., vol. 29, American Mathematical Society, 1975, p. 581-592. | DOI | MR | Zbl
-[Sc] Motives for modular forms, Invent. Math. 100 (1990), p. 419-430. | DOI | EuDML | MR | Zbl
-[Sh1] On analytic families of polarized abelian varieties and automorphic functions, Ann. of Math. 78 (1963), p. 149-192. | DOI | MR | Zbl
-[Sh2] Moduli and fibre system of abelian varieties, Ann. of Math. 83 (1966), p. 294-338. | DOI | MR | Zbl
,[Sh3] On canonical models of arithmetic quotients of bounded symmetric domains, Ann. of Math. 91 (1970), p. 144-222. | DOI | MR | Zbl
,On canonical models of arithmetic quotients of bounded symmetric domains, Ann. of Math. II, 92 (1970), p. 528-549. | DOI | MR | Zbl
,[Sh4] On some arithmetic properties of modular forms of one and several variables, Ann. of Math. 102 (1975), p. 491-515. | DOI | MR | Zbl
,[TiU] Several-variable -adic families of Siegel-Hilbert cusp eigensystems and their Galois representations, Ann, scient. Éc. Norm. Sup. 4e série 32 (1999), p. 499-574. | DOI | EuDML | Numdam | MR | Zbl
& -[Tt] Reductive groups over local fields, in Automorphic forms, representations and -functions, Proc. Symp. Pure Math., vol. 33.1, American Mathematical Society. 1979, p. 29-69. | DOI | MR | Zbl
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