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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: 9780821876428 (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:

A comparison theorem for the $2$-rank of $K_2({\scr O})$ / P. E. Conner and J�urgen Hurrelbrink -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2//862645 The Hilbert polynomial of a union of lines / Barry H. Dayton and Leslie G. Roberts -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2//862646 A note on injectivity of lower $K$-groups for integral domains / Susan C. Geller -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862647 The theory of totally real function fields / David Goss -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862648 An application of algebraic $K$-theory to sums of squares / J. S. Hsia -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862649 The homotopy type of $F\Psi ^q$. The complex and symplectic cases / Johannes Huebschmann -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862650 On the $2$-primary part of the Birch-Tate conjecture for cyclotomic fields / J. Hurrelbrink and M. Kolster -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862651 $K_2$ of fields and the Brauer group / A. S. Merkurjev -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862652 Torsion in homotopy equivalences of $S^1$-bundles / Robert Oliver -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862653 Properties of the wild kernel of $K_2$ of global fields / Ulf Rehmann -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862654 Central extensions of ${\rm SL}_2$ over division rings and some metaplectic theorems / Ulf Rehmann -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862655 Constructing algebraic $K$-theory elements from $K_1A$ / Victor Snaith -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862656 The equivariant second Stiefel-Whitney class, the characteristic classes of symmetric bilinear forms and orthogonal Galois representations / Victor Snaith -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862657 Finite presentability of Steinberg groups and related Chevalley groups / Siegfried Splitthoff -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862658 On the absolute stable range of rings of continuous functions / R. G. Swan and L. N. Vaserstein -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862659 Normalit�e des groupes �el�ementaires dans les groupes de Chevalley sur un anneau / Giovanni Taddei -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862660 On the divisibility of generalized Bernoulli numbers / Jerzy Urbanowicz -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862661 On $K_1$-theory of topological spaces / L. N. Vaserstein -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862662 Merkurjev's elementary proof of Merkurjev's theorem / Adrian R. Wadsworth -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862663 The ${\bf Z}_p$-regulator problem for $K_3$ / J. Wagoner -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862664 $K$-theory of $1$-dimensional schemes / Charles A. Weibel -- http://www.ams.org/conm/055.2/ http://dx.doi.org/10.1090/conm/055.2/1862665

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"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.

A comparison theorem for the $2$-rank of $K_2({\scr O})$ / P. E. Conner and J�urgen Hurrelbrink -- The Hilbert polynomial of a union of lines / Barry H. Dayton and Leslie G. Roberts -- A note on injectivity of lower $K$-groups for integral domains / Susan C. Geller -- The theory of totally real function fields / David Goss -- An application of algebraic $K$-theory to sums of squares / J. S. Hsia -- The homotopy type of $F\Psi ^q$. The complex and symplectic cases / Johannes Huebschmann -- On the $2$-primary part of the Birch-Tate conjecture for cyclotomic fields / J. Hurrelbrink and M. Kolster -- $K_2$ of fields and the Brauer group / A. S. Merkurjev -- Torsion in homotopy equivalences of $S^1$-bundles / Robert Oliver -- Properties of the wild kernel of $K_2$ of global fields / Ulf Rehmann -- Central extensions of ${\rm SL}_2$ over division rings and some metaplectic theorems / Ulf Rehmann -- Constructing algebraic $K$-theory elements from $K_1A$ / Victor Snaith -- The equivariant second Stiefel-Whitney class, the characteristic classes of symmetric bilinear forms and orthogonal Galois representations / Victor Snaith -- Finite presentability of Steinberg groups and related Chevalley groups / Siegfried Splitthoff -- On the absolute stable range of rings of continuous functions / R. G. Swan and L. N. Vaserstein -- Normalit�e des groupes �el�ementaires dans les groupes de Chevalley sur un anneau / Giovanni Taddei -- On the divisibility of generalized Bernoulli numbers / Jerzy Urbanowicz -- On $K_1$-theory of topological spaces / L. N. Vaserstein -- Merkurjev's elementary proof of Merkurjev's theorem / Adrian R. Wadsworth -- The ${\bf Z}_p$-regulator problem for $K_3$ / J. Wagoner -- $K$-theory of $1$-dimensional schemes / Charles A. Weibel --