Hervé Jacquet

Hervé Michel Jacquet ( born 1933 in Oullins ) is a French mathematician who deals with number theory, automorphic forms and representation theory, known for his work on the Langlands program.

Jacquet was founded in 1967 with Roger Godement his doctorate at the University of Paris ( Fonctions de Whittaker associées aux groupes de Chevalley ) and was then from 1967 to 1969 at the Institute for Advanced Study at Princeton. Later he was a professor at the City University of New York and Columbia University. His work with Robert Langlands, performed in the late 1960s in Princeton, was one of the first concrete elaborations of the Langlands program, the Langlands designed around 1967.

In 1977 he was awarded the Petit d' Ormoy Prize of the French Academy of Sciences ( Académie des sciences ). In 1980 he became a corresponding member of the Académie des sciences. In 1974 he was invited speaker at the International Congress of Mathematicians in Vancouver ( Euler products and automorphic forms). In 2013 he was elected a member of the American Academy of Arts and Sciences. He is a Fellow of the American Mathematical Society.

Writings

  • With Robert Langlands Automorphic forms on GL ( 2), Springer, Lecture Notes in Mathematics, Bd.114, 1970, online on the homepage of Jacquet and here with commentary by Langlands
  • Roger Godement: Zeta functions of simple algebras, Springer 1972
  • With Solomon Friedberg: The fundamental lemma of the Shalika subgroup of GL ( 4), American Mathematical Society 1996
  • With I. Piatetski - Shapiro, J. Shalika: Automorphic forms on GL ( 3), Part 1, Annals of Mathematics, Volume 109, 1979, pp. 169-212
  • With Joseph Shalika: On Euler products and the classification of automorphic representations, Part 1.2, American J. Math, Vol 103, 1981, pp. 499-558, 777-815
  • Principal L -functions for the linear group, in A. Borel, W. Casselman (eds.) Automorphic forms, representations and L -functions, Proc. Symp Pure Math, Volume 33, Part II, 1979, pp. 63-86
  • Principal L -functions for GL ( n ), in: TN Bailey, AW Knapp ( Ed.) Representation theory and Automorphic Forms, Edinburgh 1996, Proc. Symp Pure Math, Volume 61, AMS 1997, pp. 321-329
  • With Stephen Gelbart A relation in between the automorphic representations of GL ( 2) and GL ( 3), Ann. Sci. Ecole Normale Superieure, 11, 1978, p 471-543
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