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Applications of algebraic K-theory to algebraic geometry and number theory : [electronic resource] proceedings of the AMS-IMS-SIAM joint summer research conference held June 12-18, 1983, with support from the National Science Foundation / Spencer J. Bloch ... [et al.], editors.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Applications of Algebraic K-Theory to Algebraic Geometry and Number Theory (1983 : University of Colorado, Boulder)Contributor(s): Bloch, Spencer | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied MathematicsMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 55Publication details: Providence, R.I. : American Mathematical Society, c1986Description: 1 online resource (2 v. (xv, 818 p.) : ill.)ISBN: 9780821876411 (online)Subject(s): K-theory -- Congresses | Geometry, Algebraic -- Congresses | Algebraic number theory -- CongressesAdditional physical formats: Applications of algebraic K-theory to algebraic geometry and number theory :DDC classification: 512/.55 LOC classification: QA612.33 | .A47 1983Online resources: Contents | Contents

Contents:

Higher regulators of modular curves / A. A. Be�ilinson -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862627 Notes on absolute Hodge cohomology / A. A. Be�ilinson -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862628 The $K$-theory of triangular matrix rings / A. J. Berrick and M. E. Keating -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862629 A note on Gersten's conjecture in the mixed characteristic case / S. Bloch -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862630 $K_2$ and $L$-functions of elliptic curves: computer calculations / S. Bloch and D. Grayson -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862631 Cyclic homology and the algebraic $K$-theory of spaces. I / Dan Burghelea -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862632 Local class field theory for curves / Kevin R. Coombes -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862633 Conjectural calculations of general linear group homology / W. G. Dwyer and E. M. Friedlander -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862634 Some remarks on the $K$-theory of fields / William G. Dwyer and Eric M. Friedlander -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862635 The $K$-theory of twisted complexes / Henri Gillet -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862636 Simplicial objects in a Grothendieck topos / J. F. Jardine -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862637 Milnor $K$-theory and the Chow group of zero cycles / Kazuya Kato -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862638 Global class field theory of arithmetic schemes / Kazuya Kato and Shuji Saito -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862639 $K_n,\;SK_n$ of integral group-rings and orders / Aderemi O. Kuku -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862640 $K$-theory and Chow groups on singular varieties / Claudio Pedrini and Charles A. Weibel -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862641 Analogs of the Bloch-Wigner function for higher polylogarithms / Dinakar Ramakrishnan -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862642 Higher regulators on quaternionic Shimura curves and values of $L$-functions / Dinakar Ramakrishnan -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862643 Bott stability in algebraic $K$-theory / R. W. Thomason -- http://www.ams.org/conm/055.1/ http://dx.doi.org/10.1090/conm/055.1/862644

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IMSc Library	IMSc Library			Link to resource	Available		EBK11331

"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Applications of Algebraic K-Theory to Algebraic Geometry and Number Theory was held at the University of Colorado, Boulder"--T.p. verso.

Includes bibliographies.

Higher regulators of modular curves / A. A. Be�ilinson -- Notes on absolute Hodge cohomology / A. A. Be�ilinson -- The $K$-theory of triangular matrix rings / A. J. Berrick and M. E. Keating -- A note on Gersten's conjecture in the mixed characteristic case / S. Bloch -- $K_2$ and $L$-functions of elliptic curves: computer calculations / S. Bloch and D. Grayson -- Cyclic homology and the algebraic $K$-theory of spaces. I / Dan Burghelea -- Local class field theory for curves / Kevin R. Coombes -- Conjectural calculations of general linear group homology / W. G. Dwyer and E. M. Friedlander -- Some remarks on the $K$-theory of fields / William G. Dwyer and Eric M. Friedlander -- The $K$-theory of twisted complexes / Henri Gillet -- Simplicial objects in a Grothendieck topos / J. F. Jardine -- Milnor $K$-theory and the Chow group of zero cycles / Kazuya Kato -- Global class field theory of arithmetic schemes / Kazuya Kato and Shuji Saito -- $K_n,\;SK_n$ of integral group-rings and orders / Aderemi O. Kuku -- $K$-theory and Chow groups on singular varieties / Claudio Pedrini and Charles A. Weibel -- Analogs of the Bloch-Wigner function for higher polylogarithms / Dinakar Ramakrishnan -- Higher regulators on quaternionic Shimura curves and values of $L$-functions / Dinakar Ramakrishnan -- Bott stability in algebraic $K$-theory / R. W. Thomason --