Jean-Pierre Wintenberger

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Jean-Pierre Wintenberger

Jean-Pierre Wintenberger (* 1954 in Neuilly-sur-Seine ; † January 23, 2019 ) was a French mathematician who studied arithmetic, algebraic geometry and number theory.

Career

Wintenberger studied from 1974 at the École normal supérieure in Sèvres . From 1978 to 1991 he was a CNRS scientist at the Institut Fourier of the University of Joseph Fourier Grenoble I , where he received his doctorate in 1978 (Thèse de troisième cycle) and 1984 (Thèse d'État) with Jean-Marc Fontaine . From the late 1980s he was at the University of Paris-South in Orsay . From 1991 he was a professor at the University of Strasbourg , where he was a member of the IRMA Institute (Institut de Recherche Mathématique Avancée). In 2000 he was visiting scholar at the Tata Institute of Fundamental Research . From 1997 to 1999 he was director of the UFR de Mathématique et d'Informatique in Strasbourg. From 2007 he was a member of the Institut Universitaire de France.

In 1979 he and Jean-Marc Fontaine proved a theorem on the isomorphism of the absolute Galois group between an extension of the field of the p-adic numbers (adjunction of the roots for all n) and a corresponding extension (perfection) of the field of the Laurent series over the p-adic Numbers, see Fontaine and Wintenberger's theorem . The expansion makes the Frobenius image appear surjective. The theorem was extended by Peter Scholze as part of his theory of perfectoid spaces and was an essential basis of this theory.

From 2004 he was involved with Chandrashekhar Khare in the proof of the Serre conjectures in number theory. In particular, he proved with Khare a special case that resulted in the Fermat conjecture (which Luis Dieulefait also independently proved). He gave a lecture on this at the Bourbaki Seminar in November 2005 (Exposé No. 956).

The conjectures made by Jean-Pierre Serre in 1972, which connect two-dimensional representations of the absolute Galois group of number fields with modular functions, play an important role in number theory and especially in the Langlands program and have, among other things, (as Serre recognized) about Andrew Wiles and Richard Taylor and others proved the Fermat conjecture to result in modularity .

In 2008 he was awarded the Prix Thérèse Gauthier of the French Academy of Sciences, which was founded in 2007 as the very first prize winner, and was described as one of the leading specialists in the application of p-adic methods in algebraic geometry (partly in collaboration with Jean-Marc Fontaine, with which he developed a theory of “norms” bodies named after them in 1979). In addition to his work with Khare on the Serre Conjecture, he also received the award for fundamental contributions on tannaka properties of motifs. In 2011 he and Khare received the Cole Prize for Number Theory.

In 2010 he was invited speaker with Chandrasekhar Khare at the International Congress of Mathematicians in Hyderabad (Serre's Modularity Conjecture).

Fonts

  • Khare, Wintenberger: Serre's modularity conjecture , part 1, 2, Inventiones Mathematicae, Volume 178, 2009, pp. 485-504, 505-586
  • Khare, Wintenberger: On Serre's conjecture for 2-dimensional mod p representations of , Annals of Mathematics, Volume 169, 2009, pp. 229-253, Preprint, pdf

Web links

Individual evidence

  1. Obituary , accessed on January 26, 2019
  2. ^ Obituary , accessed January 26, 2019
  3. ^ Jean-Marc Fontaine, Jean-Pierre Wintenberger, Extensions algébrique et corps des normes des extensions APF des corps locaux, CR Acad. Sci. Paris Sér. A-B, Vol. 288, 1089, A441-A444
  4. Prix ​​Gauthier to Wintenberger, PDF file  ( page no longer available , search in web archivesInfo: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.@1@ 2Template: Dead Link / www.academie-sciences.fr