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2 - K-theoretic Background

Published online by Cambridge University Press:  05 March 2015

By
R. Sujatha
Edited by
John Coates ,
A. Raghuram ,
Anupam Saikia  and
R. Sujatha
R. Sujatha
Affiliation:
University of British Columbia, Vancouver, Canada
John Coates
Affiliation:
University of Cambridge
A. Raghuram
Affiliation:
Indian Institute of Science Education and Research, Pune
Anupam Saikia
Affiliation:
Indian Institute of Technology, Guwahati
R. Sujatha
Affiliation:
University of British Columbia, Vancouver
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The Bloch–Kato Conjecture for the Riemann Zeta Function , pp. 22 - 44
Publisher: Cambridge University Press
Print publication year: 2015

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References

[Ba68] Bass, H. 1968. Algebraic K-theory, W.A. Benjamin Inc., New York-Amsterdam.
[BK90] Bloch, S., and Kato, K. 1990. L-functions and Tamagawa numbers of motives, in The Grothendieck Festschrift, vol. 1. Progress in Math., 86, 333–400. Birkhäuser, Boston, MA.
[Bo77] Borel, A. 1977. Stable real cohomology of arithmetic groups. Ann. Sci. École Norm. Sup., 7, 613–636.Google Scholar
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[Co15] Coates, J. 2015. Values of the Riemann zeta function at the odd positive integers and Iwasawa theory, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 45–64.
[DF85] Dwyer, W. G., and Friedlander, E. M. 1985. Algebraic and étale K-theory. Trans. AMS., 292, 247–280.Google Scholar
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[Ka93] Kahn, B. 1993. On the Lichtenbaum-Quillen conjecture, Algebraic K-theory and algebraic topology (Lake Louise, AB, 1991). NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 407, 147–166. Kluwer Acad Pub.,Dordrecht.
[Ko04] Kolster, M. 2004. K-theory and arithmetic. Contemporary developments in algebraic K-theory, ICTP Lecture Notes XV, Trieste, 191–258.
[Ko15] Kolster, M. 2015. The Norm residue homomorphism and the Quillen-Lichtenbaum conjecture, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 97–120.
[Li15] Lichtenbaum, S. 2015. Soule's theorem, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 130–139.
[Lo76] Loday, J.-L. 1976. K-théorie et représentations de groupes. Ann. Scient. Éc. Norm. Sup., 4 iéme série, 9, 309–377.Google Scholar
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[Ng15] Nguyen Quang Do, T. 2015. On the determinantal approach to the Tamagawa Number Conjecture, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 154–193.
[Q71] Quillen, D. 1971. Cohomology of Groups. ICM Proceedings, Nice 1970, Gauthier Villars, Vol. II, 47–51.Google Scholar
[Q73a] Quillen, D. 1973. Higher Algebraic K-theory I, in Higher K-theories, Proc. Conf. Battelle Memorial Inst., Seattle, Was., (1972), Lecture Notes in Math., 341, 85–147. Springer-Verlag, Berlin-New York.
[Q73b] Quillen, D. 1973. Finite generation of the groups Ki of rings of algebraic integers, in Higher K-theories. Proc. Conf. Battelle Memorial Inst., Seattle, Was. (1972), Lecture Notes in Math., 341, 179–198, Springer-Verlag, Berlin-New York.
[Ra15] Raghuram, A. 2015. Special values of the Riemann zeta function: some results and conjectures, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 1–21.
[Sel97] Selick, P. 1997. Introduction to Homotopy theory. Field Institute Monographs, 9, American Mathematical Society, Providence, RI.
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  • K-theoretic Background
    • By R. Sujatha, University of British Columbia, Vancouver, Canada
  • Edited by John Coates, University of Cambridge, A. Raghuram, Indian Institute of Science Education and Research, Pune, Anupam Saikia, Indian Institute of Technology, Guwahati, R. Sujatha, University of British Columbia, Vancouver
  • Book: The Bloch–Kato Conjecture for the Riemann Zeta Function
  • Online publication: 05 March 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316163757.003
Available formats
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Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • K-theoretic Background
    • By R. Sujatha, University of British Columbia, Vancouver, Canada
  • Edited by John Coates, University of Cambridge, A. Raghuram, Indian Institute of Science Education and Research, Pune, Anupam Saikia, Indian Institute of Technology, Guwahati, R. Sujatha, University of British Columbia, Vancouver
  • Book: The Bloch–Kato Conjecture for the Riemann Zeta Function
  • Online publication: 05 March 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316163757.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • K-theoretic Background
    • By R. Sujatha, University of British Columbia, Vancouver, Canada
  • Edited by John Coates, University of Cambridge, A. Raghuram, Indian Institute of Science Education and Research, Pune, Anupam Saikia, Indian Institute of Technology, Guwahati, R. Sujatha, University of British Columbia, Vancouver
  • Book: The Bloch–Kato Conjecture for the Riemann Zeta Function
  • Online publication: 05 March 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316163757.003
Available formats
×