Michel Lazard

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Michel Paul Lazard (born December 5, 1924 in Paris , † 1985 or 1986 ) was a French mathematician who studied algebra, p-adic Lie groups and formal groups .

resume

Lazard studied in Paris, where he received his doctorate in 1954 at the Sorbonne under the supervision of Albert Châtelet ( Sur les groupes nilpotents et les anneaux de Lie ). In 1948 he was listed as Attaché des Recherches in Paris on the list of members of the Société Mathématique de France (SMF). He took part in several pioneering Paris seminars in the 1950s, including some "Seminaires Bourbaki ", that of Claude Chevalley on the classification of semi-simple algebraic groups and later that of Paul Dubreil . In the 1950s and 1960s he was a professor in Poitiers , then at the University of Paris VII.

In the 1955 work Sur les groupes de Lie formula à un paramètre , he introduced a universal ring into the theory of formal groups, which is now named after him. In 1962, he translated the Geometric Algebra of Emil Artin into French. In the 1960s, under the suggestion of Jean-Pierre Serre , he turned to p-adic analysis. In a work from 1962 he examined the zeros of analytical functions over ultrametric bodies and found analogues to theorems of function theory . In an extensive paper from 1965 he studied Lie groups on p-adic numbers and answered the p-adic analog of Hilbert's fifth problem . Both the results of this work and some of the methods used in it (completed group rings in the Iwasawa theory , examination of filtered objects by means of the associated graduated object) later proved to be very fruitful. In 1966/67 he was at the Institute for Advanced Study . In the 1970s he dealt again with formal groups and in 1975 published a highly acclaimed volume on this in the Springer Lecture Notes . He later worked on a multi-part book Matmodern on mathematics.

His concept of the analyseurs from the 1950s stands at the beginning of the theory of operads , which was developed in algebraic topology in the 1960s (named after J. Peter May ) and experienced a renaissance in algebra in the 1990s.

Lazard received the first Maurice Audin Prix , which Laurent Schwartz founded on the occasion of Audin's assassination in Algeria - all of the award winners (except for Lazard, Paul André Meyer , André Néron , Jean-Pierre Kahane , Pierre Cartier ) were in the resistance against the French war in Algeria . He was a member of the Société Mathématique de France (SMF) and the American Mathematical Society . At times he was a member of the French Communist Party , but resigned. In 1972 he received the Prix ​​Poncelet of the Academie des Sciences for his work on algebra.

Lazard had two sons from a marriage. At the age of 61, about a year after his retirement, he died of suicide .

He should not be confused with the French mathematician Daniel Lazard (* 1941), professor at the University of Paris VI., After whom a well-known characterization of flat modules is named and who later turned to computer algebra.

Fonts

  • Sur les groupes nilpotents et les anneaux de Lie, Ann. Sci. ENS, Vol. 71, 1954, pp. 101-190, Numdam
  • Sur les groupes de Lie formula à un paramètre, Bulletin SMF, Volume 83, 1955, pp. 251-274, Numdam
  • Loi des groupes et analyseurs, Seminaire Bourbaki, No. 109, 1954-56, Numdam
  • Groupes analytiques en characteristique 0, Seminaire Bourbaki, No. 75, 1951-54, Numdam
  • Loi des groupes et analyseurs, Ann. Sci. ENS, Volume 72, 1955, pp. 299-400 (here he introduces the term analyzer in the theory of Lie groups as a generalization of formal power series), Numdam
  • Les zéros d'une fonction analytique d'une variable sur un corps value complet, Pub. Math. IHES, Volume 14, pp. 47-75 (1962), Numdam
  • Quelques calculs concernant la formule de Hausdorff, Bull. Soc. math. France, Vol. 91, 1964, pp. 435-451.
  • Groupes analytiques p-adiques, Pub. Math. IHES, Vol. 26, 1965, pp. 5-219, Numdam
  • with Adrien Douady : Espaces fibers en algèbres de Lie et en groupes, Inventiones Mathematicae, Volume 1, 1966, pp. 133-151, online
  • Commutative formal groups, Lecture Notes in Mathematics 443, Springer Verlag 1975
  • Matmodern. 3. 1, En avant, marche! Quatre dialogue avec saint Coluche , Paris, Micro Fourier 1987

literature

  • Jean-Pierre Serre: Groupes analytiques p-adiques (d'après Michel Lazard) , Séminaire Bourbaki, No. 270, 1963/4, Numdam

Web links

Individual evidence

  1. ↑ Date of birth according to Turkevich u. a. Prominent Scientists of Central Europe , 1968, place of birth according to the IAS 1980 membership book
  2. ↑ a b c personal communication M.-F. Vignéras '
  3. ^ Catalog of the Bibliothèque nationale
  4. ↑ Bull. SMF 1948, p. XIII. The Bulletin also lists him in 1959 as Maitre des conferences of the Faculté des Sciences in Poitiers, but still residing in Paris, and in 1965 as Professor at the Faculté des Sciences in Paris, and in 1972 at the University of Paris VII.
  5. ↑ Turkevich et al. a. Prominent Scientists of Continental Europe , 1968
  6. ↑ Membership Book of IAS 1980
  7. ↑ See Dixon, JD; you sautoy, MPF; Mann, A .; Segal, D. (1991), Analytic pro-p-groups , Cambridge University Press, ISBN 0-521-39580-1 , which offers a more modern version of the theory.
  8. ↑ Review by Jonathan Lubin (Bull. AMS 82 (1976), pp. 535-537)
  9. ^ Jean-Louis Loday , Bruno Valette Algebraic Operads , Springer Verlag 2012, foreword.
personal data
SURNAME Lazard, Michel
ALTERNATIVE NAMES Lazard, Michel Paul (full name)
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH December 5, 1924
PLACE OF BIRTH Paris
DATE OF DEATH 1985 or 1986