Jacques Tilouine

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Jacques Tilouine (* 1958 ) is a French mathematician who studies number theory.

Tilouine received his doctorate in 1989 from the University of Paris-Süd in Orsay under John Coates (Autour de la conjecture principale anticyclotomique). He teaches at the University of Paris XIII .

He deals with modular forms , Iwasawa theory , modular Galois representations, p-adic automorphic forms and deformations of Galois representations.

From 1991 to 1992 Tilouine worked at the Institute for Advanced Study .

Fonts

  • Théorie d'Iwasawa classique et de l'algèbre de Hecke ordinaire. Compositio Math. 65 (1988), no.3, 265-320.
  • Une conséquence de la conjecture principale dans la théorie d'Iwasawa d'un corps quadratique imaginaire. CR Acad. Sci. Paris Sér. I Math. 306 (1988) no. 5, 217-221.
  • Sur la conjecture principale anticyclotomique. Duke Math. J. 59 (1989) no. 3, 629-673.
  • with Barry Mazur : Représentations galoisiennes, différentielles de Kaehler et "Conjectures Principales". Publ. Math. De l 'Inst. Des Hautes Etudes Sci. No. 71: 65-103 (1990).
  • with Haruzo Hida : Katz p-adic L-functions, congruence modules and deformations of Galois representations. L-functions and Arithmetic (Durham 1989), 271-293, London Math. Soc. Lecture Notes Ser., 153, Cambridge Univ. Press, Cambridge, 1991.
  • with Haruzo Hida: Anticyclotomic Katz p-adic L-functions and congruence modules. Ann. Sci. École Norm. Sup. (4) 26 (1993) no. 2, 189-259.
  • with Haruzo Hida: On the anticyclotomic main conjecture for CM fields. Invent. Math. 117 (1994) no. 1, 89-147.
  • Deformations of Galois representations and Hecke algebras, Narosa Publ. House 1996
  • Modular forms and Galois representations. Bull. Greek Math. Soc. 46 (2002), 63-78.
  • Siegel varieties and p-adic Siegel modular forms, special volume Documenta Mathematica for the 60th birthday of John Coates, 2006
  • with H. Hida: Big Image of Galois Representations and Congruence Ideals, in Dieulefait a. a. Arithmetic Geometry, Proc. Workshop Serre's Conjecture, Hausdorff Institute, Bonn, 2015, pp. 217–245

Web links

Individual evidence

  1. ↑ Jacques Tilouine in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ IAS, Tilouine
personal data
SURNAME Tilouine, Jacques
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 1958