@incollection{AST_2005__298__335_0, author = {Soudry, David}, title = {On {Langlands} functoriality from classical groups to $GL_n$}, 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 = {335--390}, publisher = {Soci\'et\'e math\'ematique de France}, number = {298}, year = {2005}, mrnumber = {2141707}, zbl = {1086.11025}, language = {en}, url = {http://archive.numdam.org/item/AST_2005__298__335_0/} }
TY - CHAP AU - Soudry, David TI - On Langlands functoriality from classical groups to $GL_n$ 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 - 335 EP - 390 IS - 298 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2005__298__335_0/ LA - en ID - AST_2005__298__335_0 ER -
%0 Book Section %A Soudry, David %T On Langlands functoriality from classical groups to $GL_n$ %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 335-390 %N 298 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2005__298__335_0/ %G en %F AST_2005__298__335_0
Soudry, David. On Langlands functoriality from classical groups to $GL_n$, dans Formes automorphes (I) - Actes du semestre du centre Émile Borel, printemps 2000, Astérisque, no. 298 (2005), pp. 335-390. http://archive.numdam.org/item/AST_2005__298__335_0/
[A.C.] Simple algebras, base change and the advanced theory of the trace formula, Annals of Mathematics Studies, vol. 120, Princeton University Press, 1989. | Numdam | MR | Zbl
& -[C.K.PS.S.] On Lifting from classical groups to GLN, Publ. Math. Inst. Hautes Études Sci. 93 (2001), p. 5-30. | DOI | EuDML | Numdam | MR | Zbl
, , & -[C.K.PS.S.1] Functoriality for classical groups, Publ. Math. Inst. Haute Études Sci. 99 (2004), p. 163-233. | DOI | EuDML | Numdam | MR | Zbl
, , & ,[C.PS.] Converse theorems for GLn, Publ. Math. Inst. Hautes Études Sci. 79 (1994), p. 157-214. | DOI | EuDML | Numdam | MR | Zbl
& -[G.J.R.] Generic representations for the unitary group in three variables, Israel J. Math. 126 (2001), p. 173-237. | DOI | MR | Zbl
, & -[G.PS.] -functions for , Lect. Notes in Math., vol. 1254, Springer-Velag, 1987, p. 53-146.
& -[Ge.Ro.] -functions and Fourier-Jacobi coefficients for the unitary group U(3), Invent. Math. 105 (1991), p. 445-472. | DOI | EuDML | MR | Zbl
& -[Ge.Ro.So1] On periods of cusp forms and algebraic cycles for U(3), Israel J. Math. 83 (1993), p. 213-252. | DOI | MR | Zbl
, & -[Ge.Ro.So2] Periods of cusp forms and -packets, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), p. 717-722. | MR | Zbl
, & ,[Ge.Ro.So3] Endoscopy, theta liftings and period integrals for the unitary group in three variables, Ann. of Math. 145 (1997), p. 419-476. | DOI | MR | Zbl
, & ,[G] -functions for , J. reine angew. Math. 405 (1990), p. 156-180. | EuDML | MR | Zbl
-[G.PS.R.] -functions for the orthogonal group, vol. 128, Mem. Amer. Math. Soc., no. 611, American Mathematical Society, 1997. | MR | Zbl
, & -[GRS1] On explicit lifts from cusp forms from to classical groups, Ann. of Math. 150 (1999), p. 807-866. | DOI | EuDML | MR | Zbl
, & -[GRS2] On a correspondence between cuspidal representations of and , J. Amer. Math. Soc. 12 (1999), no. 3, p. 849-907. | DOI | MR | Zbl
, & ,[GRS3] -functions for symplectic groups, Bull. Soc. math. France 126 (1998), p. 181-244. | DOI | EuDML | Numdam | MR | Zbl
, & ,[GRS4] Endoscopic representations of , Journal Inst. Math. Jussieu 1 (2002), no. 1, p. 77-123. | DOI | MR | Zbl
, & ,[GRS5] Periods, poles of -functions and symplectic-orthogonal theta lifts, J. reine angew. Math. 487 (1997), p. 85-114. | EuDML | MR | Zbl
, & ,[GRS6] Lifting cusp forms on to : the unramified correspondence, Duke Math. J. 100 (1999), no. 2, p. 243-266. | DOI | MR | Zbl
, & ,[GRS7] A new construction of the inverse Shimura correspondence, Internat. Math. Res. Notices 7 (1997), p. 349-357. | DOI | MR | Zbl
, & ,[GRS8] Self-dual automorphic modules and construction of a backward lifting from to classical groups, Internat. Math. Res. Notices 14 (1997), p. 687-701. | DOI | MR | Zbl
, & ,[GRS9] Generic automorphic forms on : functorial lift to , endoscopy and base change, Internat. Math. Res. Notices 14 (2001), p. 729-764. | DOI | MR | Zbl
, & ,[H.T.] On the geometry and cohomology of some simple Shimura varieties, Annals of Mathematics Studies, vol. 151, Princeton University Press, 2001. | MR | Zbl
& -[H] Une preuve simple des conjectures de Langlands pour sur un corps -adique, Invent. Math. 139 (2000), p. 439-455. | DOI | MR | Zbl
-[J] On the residual spectrum of , in Lie Group Representations II (Univ. of Maryland 1982-1983), Lect. Notes in Math., vol. 1041, Springer-Verlag, 1984, p. 185-208. | MR | Zbl
-[J.S.] On Euler products and the classification of automorphic forms I, II, Amer. J. Math., 103 (1981), p. 499-558 and 777-815. | DOI | MR | Zbl
& -[Ji.So.1] The local converse theorem for and applications, Ann. of Math. 157 (2003), p. 743-806. | DOI | MR | Zbl
& -[Ji.So.2] Generic representations and local Langlands reciprocity law for -adic , in Contributions to automorphic forms, geometry, and number theory, a volume in honor of Joseph A. Shalika (H. Hida, D. Ramakrishnan & F. Shahidi, eds.), The Johns Hopkins Univ. Press, Baltimore, 2004, p. 457-519. | MR | Zbl
& ,[K] Langlands-Shahidi method and poles of automorphic -functions: application to exterior square -functions. Canad. J. Math. 51 (1999), no. 4, p. 835-849. | DOI | MR | Zbl
-[M.W.] Modéles de Whittaker dégénérés pour des groupes -adiques, Math. Z. 196 (1987), p. 427-452. | DOI | EuDML | MR | Zbl
& -[N] Fonctions pour des groupes orthogonaux, C. R. Acad. Sci. Paris Sér. I Math. 280 (1975), p. 1421-1422. | MR | Zbl
-[R] Automorphic representations of unitary groups in three variables, Annals of Mathematics Studies, vol. 123, Princeton University Press, 1990. | MR | Zbl
-[Sh1] A proof of Langlands' conjecture on Plancherel measures; complementary series for -adic groups, Ann. of Math. (2) 132 (1990), p. 273-330. | DOI | MR | Zbl
-[Sh2] On non-vanishing of twisted symmetric and exterior square -functions for , Pacific J. Math., (1998), p. 311-322, (Olga Tassuky-Todd memorial issue). | MR | Zbl
,[Sk] The multiplicity one theorem for , Ann. of Math., (2) 100 (1974), p. 171-193. | DOI | MR | Zbl
-[So1] Rankin-Selberg convolutions for : local theory, Mem. Amer. Math. Soc., vol. 500, American Mathematical Society, 1993. | MR | Zbl
-[So2] On the archimedean theory of Rankin-Selberg convolutions for , Ann. scient. Éc. Norm. Sup. 4e série 28 (1995), p. 161-224. | DOI | EuDML | Numdam | MR | Zbl
,[So3] Full multiplicativity of gamma factors for , in Proc. of the Conference on -adic aspects of automorphic representations (Jerusalem 1998), Israel J. Math., vol. 120, part B, 2000, p. 511-561. | MR | Zbl
,[T] On -functions and intertwining operators for unitary groups, Israel J. Math. 73 (1991), no. 2, p. 161-188. | DOI | MR | Zbl
-[W] A comparison of automorphic -functions in a theta series lifting for unitary groups, Israel J. Math. 116 (2000), p. 93-116. | DOI | MR | Zbl
-