نظریه K جبری (مکاتبات مؤسسهٔ میادین)

This conference proceedings volume is produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in March 1996. The volume is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory. In addition to research papers treated directly in the lectures at the conference, this volume contains the following: i) several timely articles inspired by those lectures (particularly by that of V. Voevodsky), ii) an extensive exposition by Steve Mitchell of Thomason's famous result concerning the relationship between algebraic K-theory and étale cohomology, and iii) a definitive exposition by J.-L. Colliot-Thélène, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in K-theory and also to graduate students and researchers seeking good advanced exposition. Features: invaluable access to new, previously unavailable research results an ideal reference for some important results in K-theory techniques in algebraic geometry material for advanced seminars for graduate students a number of papers connecting number theory and K-theory in a way that complements The Fields Institute Monograph Series from the 1993–1994 emphasis year on $L$-functions The Conference Proceedings Volume Is Produced In Connection With The Second Great Lakes K-theory Conference That Was Held At The Fields Institute For Research In Mathematical Sciences In March 1996. The Volume Is Dedicated To The Late Bob Thomason, One Of The Leading Research Mathematicians Specializing In Algebraic K-theory. In Addition To Research Papers Treated Directly In The Lectures At The Conference, This Volume Contains The Following: I) Several Timely Articles Inspired By Those Lectures (particularly By That Of V. Voevodsky), Ii) An Extensive Exposition By Steve Mitchell Of Thomason's Famous Result Concerning The Relationship Between Algebraic K-theory And Etale Cohomology, Iii) A Definitive Exposition By J-l. Colliot-thelene, R. Hoobler, And B. Kahn (explaining And Elaborating Upon Unpublished Work Of O. Gabber) Of Bloch-ogus-gersten Type Resolutions In K-theory And Algebraic Geometry. This Volume Will Be Important Both For Researchers Who Want Access To Details Of Recent Development In K-theory And Also To Graduate Students And Researchers Seeking Good Advanced Exposition. Quaternionic Exercises In K-theory Galois Module Structure / Ted Chinburg [and Others] -- The Bloch-ogus-gabber Theorem / Jean-louis Colliot-thélène, Raymond T. Hoobler And Bruno Kahn -- Milnor's Conjecture And Galois Theory I / Wenfeng Gao And Ján Mináč -- Ultraproducts And The Discrete Cohomology Of Algebraic Groups / J.f. Jardine -- Lambda-operations, K-theory And Motivic Cohomology / Marc Levine -- Quasi-motives Of Curves / Stephen Lichtenbaum -- A Chain Complex For The Spectrum Homology Of The Algebraic K-theory Of An Exact Category / Randy Mccarthy -- Hypercohomology Spectra And Thomason's Descent Theorem / Stephen A. Mitchell -- Kahler Differentials Of Certain Cusps / Leslie G. Roberts -- Local Fundamental Classes Derived From Higher-dimensional K-groups / Victor P. Snaith -- Local Fundamental Classes Derived From Higher-dimensional K-groups : Ii / Victor P. Snaith -- Weak Approximation, R-equivalence And Whitehead Groups / Nguye︢ñ Quo︢ć Thǎńg. Victor P. Snaith, Editor. Papers From The Second Great Lakes Conference On Algebraic K-theory, Held Mar. 1996 At The Fields Institute For Research In Mathematical Sciences In Memory Of Robert Wayne Thomason. Includes Bibliographical References. Quaternionic exercises in K-theory Galois module structure / Ted Chinburg [und weitere] -- The Bloch-Ogus-Gabber theorem / Jean-Louis Colliot-Thélène, Raymond T. Hoobler and Bruno Kahn -- Milnor's conjecture and Galois theory I / Wenfeng Gao and Ján Mináč -- Ultraproducts and the discrete cohomology of algebraic groups / J.F. Jardine -- Lambda-operations, K-theory and motivic cohomology / Marc Levine -- Quasi-motives of curves / Stephen Lichtenbaum -- A chain complex for the spectrum homology of the algebraic K-theory of an exact category / Randy McCarthy -- Hypercohomology spectra and Thomason's descent theorem / Stephen A. Mitchell -- Kahler differentials of certain cusps / Leslie G. Roberts -- Local fundamental classes derived from higher-dimensional K-groups / Victor P. Snaith -- Local fundamental classes derived from higher-dimensional K-groups : II / Victor P. Snaith -- Weak approximation, R-equivalence and Whitehead groups / Nguyeñ Quoć Tȟańg. Consists of conference proceedings produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in March 1996. This volume is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory.