Algebraic K-theory and Algebraic Number Theory: Proceedings of a Seminar Held January 12-16, 1987, with Support from the National Science Foundation and Japan Society for the Promotion of Science

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This volume contains the proceedings of a seminar on Algebraic $K$-theory and Algebraic Number Theory, held at the East-West 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.
 

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Contents

Normal subgroups of Chevalley groups over commutative rings
1
Cycles and biextensions
19
On the Ktheory of fields
31
The homotopical foundations of algebraic Ktheory
57
Universal HasseWitt classes
83
Swan conductors for characters of degree one in the imperfect residue field case
101
Special values of Selberg zeta functions
133
Groups related to scissorscongruence groups
151
Algebraic Ktheory étale cohomology and torsion algebraic cycles
311
On the homotopy fiber of the map BQA BQA
343
Connexions et classes caractéristiques de Beilinson
349
A note in Ktheory of some Calgebras
377
A finiteness condition equivalent to the Tate conjecture over Fq
385
Survey of algebraic vs étale topological Ktheory
393
Noncommutative number theory
445
Normal subgroups of classical groups over rings and gauge groups
451

Abelian ladic representations associated with Selberg integrals
159
Regulators algebraic cycles and values of Lfunctions
183
Homotopy algebraic Ktheory
461
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