eBook ISBN:  9780821876718 
Product Code:  CONM/83.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876718 
Product Code:  CONM/83.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 83; 1989; 488 ppMSC: Primary 18; Secondary 19
This volume contains the proceedings of a seminar on Algebraic \(K\)theory and Algebraic Number Theory, held at the EastWest Center in Honolulu in January 1987. The seminar, which hosted nearly 40 experts from the U.S. and Japan, was motivated by the wide range of connections between the two topics, as exemplified in the work of Merkurjev, Suslin, Beilinson, Bloch, Ramakrishnan, Kato, Saito, Lichtenbaum, Thomason, and Ihara. As is evident from the diversity of topics represented in these proceedings, the seminar provided an opportunity for mathematicians from both areas to initiate further interactions between these two areas.

Table of Contents

Articles

Eiichi Abe — Normal subgroups of Chevalley groups over commutative rings [ MR 991973 ]

Spencer Bloch — Cycles and biextensions [ MR 991974 ]

Daniel R. Grayson — On the $K$theory of fields [ MR 991975 ]

J. F. Jardine — The homotopical foundations of algebraic $K$theory [ MR 991976 ]

J. F. Jardine — Universal HasseWitt classes [ MR 991977 ]

Kazuya Kato — Swan conductors for characters of degree one in the imperfect residue field case [ MR 991978 ]

Nobushige Kurokawa — Special values of Selberg zeta functions [ MR 991979 ]

Stephen Lichtenbaum — Groups related to scissorscongruence groups [ MR 991980 ]

Takayuki Oda — Abelian $l$adic representations associated with Selberg integrals [ MR 991981 ]

Dinakar Ramakrishnan — Regulators, algebraic cycles, and values of $L$functions [ MR 991982 ]

Wayne Raskind — Algebraic $K$theory, étale cohomology and torsion algebraic cycles [ MR 991983 ]

Clayton Sherman — On the homotopy fiber of the map $BQ\scr A^\oplus \to BQ\scr A$ (after M. Auslander) [ MR 991984 ]

Christophe Soulé — Connexions et classes caractéristiques de Beilinson [ MR 991985 ]

Haruo Suzuki — A note in $K$theory of some $C^*$algebras [ MR 991986 ]

R. W. Thomason — A finiteness condition equivalent to the Tate conjecture over $\mathbf {F}_q$ [ MR 991987 ]

R. W. Thomason — Survey of algebraic vs. étale topological $K$theory [ MR 991988 ]

L. N. Vaserstein — Noncommutative number theory [ MR 991989 ]

L. N. Vaserstein — Normal subgroups of classical groups over rings and gauge groups [ MR 991990 ]

Charles A. Weibel — Homotopy algebraic $K$theory [ MR 991991 ]


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This volume contains the proceedings of a seminar on Algebraic \(K\)theory and Algebraic Number Theory, held at the EastWest Center in Honolulu in January 1987. The seminar, which hosted nearly 40 experts from the U.S. and Japan, was motivated by the wide range of connections between the two topics, as exemplified in the work of Merkurjev, Suslin, Beilinson, Bloch, Ramakrishnan, Kato, Saito, Lichtenbaum, Thomason, and Ihara. As is evident from the diversity of topics represented in these proceedings, the seminar provided an opportunity for mathematicians from both areas to initiate further interactions between these two areas.

Articles

Eiichi Abe — Normal subgroups of Chevalley groups over commutative rings [ MR 991973 ]

Spencer Bloch — Cycles and biextensions [ MR 991974 ]

Daniel R. Grayson — On the $K$theory of fields [ MR 991975 ]

J. F. Jardine — The homotopical foundations of algebraic $K$theory [ MR 991976 ]

J. F. Jardine — Universal HasseWitt classes [ MR 991977 ]

Kazuya Kato — Swan conductors for characters of degree one in the imperfect residue field case [ MR 991978 ]

Nobushige Kurokawa — Special values of Selberg zeta functions [ MR 991979 ]

Stephen Lichtenbaum — Groups related to scissorscongruence groups [ MR 991980 ]

Takayuki Oda — Abelian $l$adic representations associated with Selberg integrals [ MR 991981 ]

Dinakar Ramakrishnan — Regulators, algebraic cycles, and values of $L$functions [ MR 991982 ]

Wayne Raskind — Algebraic $K$theory, étale cohomology and torsion algebraic cycles [ MR 991983 ]

Clayton Sherman — On the homotopy fiber of the map $BQ\scr A^\oplus \to BQ\scr A$ (after M. Auslander) [ MR 991984 ]

Christophe Soulé — Connexions et classes caractéristiques de Beilinson [ MR 991985 ]

Haruo Suzuki — A note in $K$theory of some $C^*$algebras [ MR 991986 ]

R. W. Thomason — A finiteness condition equivalent to the Tate conjecture over $\mathbf {F}_q$ [ MR 991987 ]

R. W. Thomason — Survey of algebraic vs. étale topological $K$theory [ MR 991988 ]

L. N. Vaserstein — Noncommutative number theory [ MR 991989 ]

L. N. Vaserstein — Normal subgroups of classical groups over rings and gauge groups [ MR 991990 ]

Charles A. Weibel — Homotopy algebraic $K$theory [ MR 991991 ]