Jean-Michel Bismuth

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Jean-Michel Bismut (born February 26, 1948 in Lisbon ) is a French mathematician who deals with global analysis , arithmetic algebraic geometry and probability theory.

Jean-Michel Bismuth

Live and act

Jean-Michel Bismut studied from 1967 at the École polytechnique (graduated in 1970) and received his doctorate in 1973 from the University of Paris VI. 1970 to 1976 he was a mining engineer (Ingénieur du Corps des Mines). From 1975 to 1987 he was Maitre de Conferences at the Ecole Polytechnique. He has been a professor at the University of Paris-South (Paris XI) in Orsay since 1981 . In 1980 he was visiting professor in Vancouver , 1984 and 1994 at the Institute for Advanced Study and 1987/8 at IHES .

Bismut dealt with stochastic optimization, the Malliavin calculus of stochastic differential equations, the index theory of differential operators along with applications in differential geometry and algebraic geometry, arithmetic algebraic geometry (proof of a Riemann-Roch-Grothendieck theorem with Henri Gilletge and Christopheipté's De Soule) and hypoell Theory.

He has been a member of the Académie des sciences since 1991 and also a member of the Leopoldina Academy for Natural Scientists (since 2004), the Academia Europaea . In 1984 he received the Prix Montyon and in 1990 the Prix ​​Ampère of the French Academy. He was invited lecturer at the ICM 1986 in Berkeley ( Index Theory and the heat equation ) and gave a plenary lecture at the ICM 1998 in Berlin ( Local index theory and higher analytic torsion ). He is co-editor of the Duke Mathematical Journal and Inventiones Mathematicae (1989–2008) and on the Advisory Board of the Newton Institute in Cambridge and the Max Planck Institute for Mathematics in Bonn (President 2000 to 2006). From 1998 to 2002 he was a member of the Executive Committee of the International Mathematical Union and from 2002 to 2006 its Vice-President.

His PhD students include Xiaonan Ma and Weiping Zhang .

Fonts

  • Mécanique aléatoire (= Lecture Notes in Mathematics . 866). Springer, Berlin et al. 1981, ISBN 3-540-10840-8 .
  • Large deviations and the Malliavin Calculus (= Progress in Mathematics. 45). Birkhäuser, Boston MA et al. 1984, ISBN 0-8176-3220-4 .
  • The Atiyah-Singer index theorem for families of Dirac operators: two heat equation proofs. In: Inventiones Mathematicae . Vol. 83, 1986, pp. 91-151 .
  • Index theorem and the heat equation. In: Andrew M. Gleason (Ed.): Proceedings of the International Congress of Mathematicians. Berkeley, California August 3-11, 1986. Volume 1. American Mathematical Society, Providence RI 1987, ISBN 0-8218-0110-4 , pp. 491-504, ( digitized ).
  • with Jeff Cheeger : η-invariants and their adiabatic limits. In: Journal of the American Mathematical Society . Vol. 2, No. 1, 1989, pp. 33-70, doi : 10.2307 / 1990912 .
  • with Gilles Lebeau : Complex immersions and Quillen metrics (= Publications Mathématiques. 74). Institut des hautes études scientifiques, Bures-sur-Yvette 1992, ISBN 2-13-044414-8 .
  • with Weiping Zhang: An extension of a theorem by Cheeger and Müller (= Astérisque. 205, ISSN  0303-1179 ). With an appendix by François Laudenbach . Société Mathématique de France, Montrouge 1992.
  • with John Lott : Flat vector bundles, direct images and higher real analytic torsion. In: Journal of the American Mathematical Society. Vol. 8, No. 2, 1995, pp. 291-363, doi : 10.1090 / S0894-0347-1995-1303026-5 .
  • Local index theory and higher analytic torsion. In: Proceedings of the International Congress of Mathematicians Berlin 1998, August 18-27. Volume 1: Plenary lectures and ceremonies (= Documenta Mathematica. Extra Volume 1: ICM 1998. ). Geronimo, Rosenheim 1998, pp. 143-162, ( digitized ).
  • with Gilles Lebeau : The Hypoelliptic Laplacian and Ray-Singer Metrics (= Annals of Mathematics Studies. 167). Princeton University Press, Princeton NJ et al. 2008, ISBN 978-0-691-13731-5 .
  • The Hypoelliptic Dirac Operator. In: Mikhail Kapranov , Sergiy Kolyada, Yuri I. Manin , Pieter Moree, Leonid A. Potyagailo (eds.): Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov (= Progress in Mathematics. 265). Birkhäuser, Basel et al. 2008, ISBN 978-3-7643-8607-8 , pp. 113–246, doi : 10.1007 / 978-3-7643-8608-5_3 .
  • Hypoelliptic Laplacian and orbital integrals (= Annals of Mathematics Studies. 177). Princeton University Press, Princeton NJ et al. 2011, ISBN 978-0-691-15130-4 .
  • Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry (= Progress in Mathematics. 305). Birkhäuser, Cham et al. 2013, ISBN 978-3-319-00127-2 .

Web links

Individual evidence

  1. ↑ Member entry of Jean-Michel Bismut (with picture) at the German Academy of Natural Scientists Leopoldina , accessed on June 29, 2016.
  2. ↑ Jean-Michel Bismut in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Bismuth, Jean-Michel
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH February 26, 1948
PLACE OF BIRTH Lisbon