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Galois Cohomology

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Modular Forms and Fermat’s Last Theorem

Abstract

In these lectures, we give a very utilitarian description of the Galois cohomology needed in Wiles’ proof. For a more general approach, see any of the references.

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References

  1. J.W.S. Cassels and A. Fröhlich, Algebraic number theory, Acad. Press, New York, 1967.

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  2. H. Darmon, F. Diamond, and R. Taylor, Fermat’s Last Theorem (1995), preprint.

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  3. R. Greenberg, Iwasawa theory for p-adic representations,Algebraic number theory in honor of K. Iwasawa (J. Coates et al., eds.), Advanced studies in pure mathematics 17, Academic Press, Boston, 1989.

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  4. K. Haberland, Galois cohomology of algebraic number fields, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978.

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  5. J.S. Milne, Arithmetic duality theorems, Perspectives in Mathematics 1, Aca-demic Press, Boston, 1986.

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  6. G. Poitou, Cohomologie galoisienne des modules finis, Dunod, Paris, 1967.

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  7. J.-P. Serre, Local fields (translated by M. Greenberg), Springer-Verlag, New York-Heidelberg-Berlin, 1979.

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  8. S. Shatz, Profinite groups, arithmetic, and geometry, Annals of Mathematics Studies 67, Princeton Univ. Press, 1972.

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  9. J. Tate, Proc. International Cong. Math., Stockholm, 1962, pp. 234–241.

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  10. A. Wiles, Modular elliptic curves and Fermat’s Last Theorem, Annals of Math. 141 (1995), 443–551.

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Authors
  1. Lawrence C. Washington
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, CT, 06268, USA

    Gary Cornell

  2. Department of Mathematics, Brown University, Providence, RI, 02912, USA

    Joseph H. Silverman

  3. Department of Mathematics, Boston University, Boston, MA, 02215, USA

    Glenn Stevens

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© 1997 Springer Science+Business Media New York

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Washington, L.C. (1997). Galois Cohomology. In: Cornell, G., Silverman, J.H., Stevens, G. (eds) Modular Forms and Fermat’s Last Theorem. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1974-3_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1974-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98998-3

  • Online ISBN: 978-1-4612-1974-3

  • eBook Packages: Springer Book Archive

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