@incollection{SB_1992-1993__35__311_0, author = {Cathelineau, Jean-Louis}, title = {Homologie du groupe lin\'eaire et polylogarithmes [d'apr\`es {A.B.} {Goncharov} et d'autres]}, booktitle = {S\'eminaire Bourbaki : volume 1992/93, expos\'es 760-774}, series = {Ast\'erisque}, note = {talk:772}, pages = {311--341}, publisher = {Soci\'et\'e math\'ematique de France}, number = {216}, year = {1993}, mrnumber = {1246402}, zbl = {0845.19003}, language = {fr}, url = {http://www.numdam.org/item/SB_1992-1993__35__311_0/} }
TY - CHAP AU - Cathelineau, Jean-Louis TI - Homologie du groupe linéaire et polylogarithmes [d'après A.B. Goncharov et d'autres] BT - Séminaire Bourbaki : volume 1992/93, exposés 760-774 AU - Collectif T3 - Astérisque N1 - talk:772 PY - 1993 SP - 311 EP - 341 IS - 216 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1992-1993__35__311_0/ LA - fr ID - SB_1992-1993__35__311_0 ER -
%0 Book Section %A Cathelineau, Jean-Louis %T Homologie du groupe linéaire et polylogarithmes [d'après A.B. Goncharov et d'autres] %B Séminaire Bourbaki : volume 1992/93, exposés 760-774 %A Collectif %S Astérisque %Z talk:772 %D 1993 %P 311-341 %N 216 %I Société mathématique de France %U http://www.numdam.org/item/SB_1992-1993__35__311_0/ %G fr %F SB_1992-1993__35__311_0
Cathelineau, Jean-Louis. Homologie du groupe linéaire et polylogarithmes [d'après A.B. Goncharov et d'autres], dans Séminaire Bourbaki : volume 1992/93, exposés 760-774, Astérisque, no. 216 (1993), Exposé no. 772, 31 p. http://www.numdam.org/item/SB_1992-1993__35__311_0/
[1] Higher regulators and values of -functions, Sovr. Probl. Math., 24 (1984), 181-238. | MR | Zbl
,[2] Polylogarithms and cyclotomic elements, preprint.
,[3] Motivic polylogarithms and Zagier conjecture, preprint.
, ,[4] Projective geometry and algebraic -theory, Leningrad math. Jo. 2 (1991), 523-576. | MR | Zbl
, , , ,[5] Notes on motivic cohomology, Duke Math. J., 54 (1987), 679-710. | MR | Zbl
, , ,[6] Higher regulators, algebraic -theory and zeta functions of elliptic curves, Lect. notes, Irvine, 1977.
,[7] Applications of the dilogarithm function in algebraic -theory and algebraic geometry, Proc. Int. Symp. Alg. Geom., Kyoto (1977) 1- 14. | MR | Zbl
,[8] Algebraic cycles and algebraic -theory, Adv. in Math., 6 (1986), 267-304. | MR | Zbl
,[9] Cohomologie de et valeurs de fonctions zêta aux points entiers, Ann. Ec. Norm. Sup. Pisa, 4 (1974), 613-636. | Numdam | MR | Zbl
,[10] Stable real cohomology of arithmetic groups, Ann. Sci. Ec. Norm. Sup., 7 (1974), 235-274. | Numdam | MR | Zbl
,[11] La transgression dans un groupe de Lie et dans un espace fibré principal, Colloque de topologie, Liège (1950), 57-71. | MR | Zbl
,[12] Décomposition des polyèdres, le point sur le troisième problème de Hilbert, Sém. Bourbaki 1984/85, exp. 646, Astérique 133/134 (1986), 261-288. | Numdam | MR | Zbl
,[13] Birapport et groupoïdes, preprint. | MR
,[14] Théorie de Hodge III, Publ. Math. IHES, 44 (1974), 5-27. | Numdam | MR | Zbl
,[15] Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs, preprint 1990. | MR
,[16] The dilogarithm as a characteristic class for flat bundles, J. of Pure and Appl. Alg., 44 (1987), 137-164. | MR | Zbl
,[17] Characteristic classes for flat bundles and their formulas, preprint, Aarhus 1993. | MR
,[18] Regulators and characteristic classes of flat bundles, preprint Aarhus 1992. | MR
, , ,[19] Scissors congruences II, Jo. Pure Appl. Alg., 25 (1982), 159-195. | MR | Zbl
, ,[20] Deligne-Beilinson cohomology, in Beilinson's conjectures on special values of L-functions, 43-81, Perspectives in Math. 1988, Acad. Press. | MR | Zbl
, ,[21] Combinatorial calculation of characteristic classes, Funct. Anal. i Priloz. 9 (1975), (1) 54-55, (2) 12-28, (3) 5-26. | MR | Zbl
, , ,[22] Geometry in grassmannians and a generalization of the dilogarithm, Adv. in Math. 44 (1982), 279-312. | MR | Zbl
, ,[23] Affine grassmannian homology and the homology of the general linear groups, Duke Math. J., (1) 62 (1991), 85-103. | MR | Zbl
,[24] The linearization of higher Chow cycles of dimension one, Duke Math. J., (1) 62 (1991), 105-109. | MR | Zbl
,[25] The classical polylogarithm, algebraic -theory of fields and Dedekind zeta functions, Bull. A. M. S., (1) 29 (1991), 155- 161. | MR | Zbl
,[26] Geometry of configurations, polylogarithms and motivic cohomology, preprint Max Planck Inst. 1992. | MR
,[27] Polylogarithms and motivic Galois groups, Proc. of the Seattle conf. on motives, Seattle july 1991, preprint. | MR | Zbl
,[28] Explicit construction of characteristic classes, preprint Max Planck Inst. 1992. | MR
,[29] Explicit weight two motivic cohomology complexes and algebraic K-theory, K-theory, 6 (1992), 387-430. | MR | Zbl
,[30] Classical polylogarithms, preprint. | MR
,[31] Higher logarithms, Illinois J. of Math., 34 (1990), 392-475. | MR | Zbl
, ,[32] Geometric construction of polylogarithms, Duke Math. J., 70 (1993) 481-515. | MR | Zbl
, ,[33] -ring and algebraic -theory, J. of Pure and Appl. Alg., 20 (1981), 241-266. | Zbl
,[34] Conjectures in arithmetic algebraic geometry, a survey, Aspects of Math., Vieweg 1992. | MR | Zbl
,[35] The Borel regulator map on pictures, preprint.
,[36] Classes caractéristiques de fibrés feuilletés, holomorphes ou algébriques, preprint Univ. Paris VII, 52 (1993). | MR | Zbl
,[37] -structure en -théorie algébrique, Comm. Math. Helv., 55 (1980), 233-254. | Zbl
,[38] The construction of weight two arithmetic cohomology, Inv. Math., 88 (1987), 183-215. | MR | Zbl
,[39] -théorie algébrique et représentations de groupes, Ann. Sci. Ec. Norm. Sup., (4) 9 (1976), 309-377. | Numdam | MR | Zbl
,[40] Symboles en -théorie algébrique d'ordre supérieur, Comptes rendus Acad. Sci. Paris, 292 (1981), 863-866. | MR | Zbl
,[41] Algebraic -theory and quadratic forms, Inv. Math., 9 (1970), 318-344. | MR | Zbl
,[42] On the structure of Hopf algebras, Ann. of Math., (2) 81 (1965), 211-264. | MR | Zbl
, ,[43] Projective invariants of projective structures and applications, Proc. Int. Cong. of Math. 1962, Stockholm, 526-530. | MR | Zbl
,[44] Polylogarithmes, Sém. Bourbaki, 762 (1992-93). | Numdam | MR | Zbl
,[45] Higher algebraic -theory I, Springer Lect. Notes in Math., 341 (1973), 85-197. | MR | Zbl
,[46] Regulators, algebraic cycles and values of -functions, Contemp. Math., 83 (1989), 183-310. | MR | Zbl
,[47] Comparison of the regulator of Beilinson and of Borel, in Beilinson's conjectures on special values of -functions, 169-192, Perspectives in Math. 1988, Acad. Press. | MR | Zbl
,[48] Introduction to the Beilinson Conjectures, in Beilinson's conjectures on special values of -functions, 1-35, Perspectives in Math. 1988, Acad. Press. | MR | Zbl
,[49] Opérations en -théorie algébrique, Canad. J. of Math., 27 (1985), 488-550. | MR | Zbl
,[50] Régulateurs, Sém. Bourbaki 1984/85, exp. 644, Astérique 133/134 (1986), 237-253. | Numdam | MR | Zbl
,[51] Homology of , characteristic classes and Milnor -theory, Springer Lect. Notes in Math., 1046 (1989), 357-375. | MR | Zbl
,[52] Algebraic -theory of fields, Proc. Int. Cong. of Math. 1986, Berkeley, 222-243. | MR | Zbl
,[53] of a field and the Bloch group, Proc. Steklov inst. of Math., 4 (1991), 217-239. | MR | Zbl
,[54] Symbols in Arithmetic, Actes Cong. Int. Nice, 1970, tome 1, 201-211, Gauthier-Villars 1971. | MR | Zbl
,[55] Milnor -theory is the simplest part of algebraic -theory, K-theory, 6 (1992), 177-189. | MR | Zbl
,[56] Est, Group cohomology and Lie algebra cohomology in Lie groups, Indag. Math., 15 (1953), 484-504. | Zbl
[57] On the real cohomology of arithmetic groups and the rank conjecture for number fields, Ann. Ecole Norm. Sup., 25 (1992), 287- 306. | Numdam | MR | Zbl
,[58] The Hain-MacPherson third logarithm, the third Borel regulator and the values of Dedekind zeta function at 3, preprint.
,[59] Hyperbolic manifolds and special values of Dedekind zeta functions, Inv. Math., 83 (1986), 285-301. | MR | Zbl
,[60] Polylogarithms, Dedekind zeta functions and the algebraic -theory of fields, Proc. Texel Conf. on Arithm. Alg. Geometry 1989, Birkhäuser, Boston (1991), 391-430. | MR | Zbl
,