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The work of Robert Langlands

Shimura varieties

Modular forms and l-adic representations

This paper was first published in the proceedings of the 1972 Antwerp conference on modular forms: Modular functions of one variable II, Lecture Notes in Mathematics 349, Springer-Verlag, 1973.

Some contemporary problems with origins in the Jugendtraum

This paper was first published in the proceedings of an AMS conference on Hilbert's problems: Mathematical developments arising from Hilbert's problems, Proceedings of Symposia in Pure Mathematics XXVIII, A. M\. S.,

Shimura varieties and the Selberg trace formula

This paper was first published in the Canadian journal of Mathematics 29 (1977). We wish to thank the Canadian Mathematical Society for allowing us to republish it.

Comments on Shimura varieties and the Selberg trace formula

This paper was published by the Canadian Mathematical Society along with a reprint of the previous paper in Canadian Math. Soc. Selecta 1945-1995 volume 2. We wish to thank the Canadian Mathematical Society for allowing us to republish it.

On the zeta-functions of some simple Shimura varieties

This paper was also first published in the Canadian Journal of Mathematics 31 (1979). We wish to thank the Canadian Mathematical Society for allowing us to republish it.

Automorphic representations, motives, and Shimura varieties. Ein Märchen

This paper was first published in the Proceedings of the 1977 A.M.S. conference on L functions and automorphic representations.

Sur la mauvaise réduction d'une variété de Shimura

This paper was first published in Journées de Géométrie Algébrique de Rennes, Astérisques 65 (1979).

    The paper

    Although this paper has some merit, it also leaves a lot to be desired, and suffers from the author's inexperience with the material. For a better treatment of more general questions and corrections to the assertions of this paper, the reader is advised to consult a paper of Thomas Zink, Über die schlechte Reduktion einiger Shimuramannigfaltigkeiten, Comp. Math. 45 (1981).

Algebraische Zyklen auf Hilbert-Blumenthal Flächen (with G. Harder and M. Rapoport)

This paper was first published in Jour. für die reine und angewandte Mathematik 366 (1986).

Shimuravarietäten und Gerben (with M. Rapoport)

This paper was first published in Jour. für die reine und angewandte Mathematik 378 (1987).

Erratum. It has been pointed out by J. Milne, by M. Pfau and by H. Reimann that there is a blunder in this paper in the treatment of gerbes. For a description of the error, for necessary corrections, and for further references, see the notes of Reimann, The semi-simple zeta function of quaternionic Shimura varieties, Lect. Notes Math. 1657.

Representation theory and arithmetic

This paper was first published in The mathematical heritage of Hermann Weyl, Proceedings of Symposia in Pure Mathematics 48, A.M.S., 1987.