Informal Introduction to Geometric Langlands

  • D. Gaitsgory


Since we could not afford to give all the definitions necessary to introduce the subject, we will assume a certain level of familiarity with basic notions of algebraic geometry, number theory and representation theory. To compensate for the missing definitions, at the end we include some bibliographical suggestions.


Vector Bundle Isomorphism Class Automorphic Form Coherent Sheave Open Compact Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Be]
    J. Bernstein, Lectures on Representations of p-Adic Groups, preprint, School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel; available online from.Google Scholar
  2. [BD]
    A. Beilinson and V. Drinfeld, Quantization of Hitchin’s Integrable System and Hecke Eigen-Sheaves, preprint; available online from.Google Scholar
  3. [De]
    P. Deligne, La conjecture de Weil II, Publ. IHES, 52(1981), 313–428.Google Scholar
  4. [Dr]
    V. Drinfeld, Two-dimensional l-adic representations of the fundamental group of a curve over a finite field and automorphic forms on GL(2), Amer. J. Math., 105(1983), 85–114.MathSciNetCrossRefMATHGoogle Scholar
  5. [L]
    G Laumon, Correspondance de Langlands géométrique pour les corps de fonctions, Duke Math. J., 54(1987), 309–359.MathSciNetCrossRefMATHGoogle Scholar
  6. [L-MB]
    G. Laumon and L. Morret-Bailly, Champs algébriques, Springer-Verlag, New York, 2000.MATHGoogle Scholar
  7. [Mi]
    J. Milne, Etale Cohomology, Princeton Mathematical Series 33, Princeton University Press, Princeton, NJ, 1980.MATHGoogle Scholar
  8. [Se]
    J.-P. Serre, Algebraic Groups and Class Fields, Graduate Texts in Mathematics 117, Springer-Verlag, New York, 1998.Google Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • D. Gaitsgory

There are no affiliations available

Personalised recommendations