Andrei Andreevich Bolibruch

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Andrei Andrejewitsch Bolibruch , ( Russian Андрей Андреевич Болибрух ; English transcription Andrey Andreevich Bolibrukh; born January 30, 1950 in Moscow ; † November 11, 2003 ) was a Russian mathematician.

Life

Bolibruch studied at the Lomonossow University , where he received his doctorate under Michail Michailowitsch Postnikow and Alexei Tschernawskij (Chernavskii). In 1991 he received his habilitation (Russian doctoral degree). He was a professor at Lomonosov University and deputy director of the Steklov Institute . He was also a professor at the Moscow Institute of Physics and Technology .

Bolibruch is known for his work on ordinary differential equations in complexes of the Fuchs type (i.e. linear with finitely many poles of the coefficient function at most 1st order) and on the associated Riemann-Hilbert problem (the 21st of the Hilbert problems , proof of the existence of linear differential equations for a given monodromy group). In 1989 he gave counterexamples to the alleged solution of the 21st Hilbert problem by Josip Plemelj (1908) and showed that the problem is generally not solvable. Bolibruch then looked for criteria under which conditions differential equations for a given monodromic group exist.

Bolibruch had been a member of the Russian Academy of Sciences since 1994 and its secretary in the Mathematics and Computer Science section. In 1995 he received the Lyapunov Prize of the Russian Academy of Sciences. He was a member of the Executive Committee of the International Mathematical Union .

In 1994 he was invited speaker at the International Congress of Mathematicians (ICM) in Zurich (The Riemann-Hilbert Problem and Fuchsian Differential Equations on the Riemann Sphere). In 2001 he received the State Prize of the Russian Federation .

Fonts

  • With Dmitri Wiktorowitsch Anossow : The Riemann-Hilbert problem. Vieweg, Braunschweig, Aspects of Mathematics, 1994. ISBN 3-5280-6496-X
  • Inverse monodromy problems for the analytic theory of differential equations , in Bolibruch, Osipov, Sinai (editor) Mathematical Events of the Twentieth Century , Springer 2006, p. 49

literature

  • Claude Mitschi, Claude Sabbah Andrei Bolibrukh, un mathématicien, un ami , Gazette des mathématiciens, Volume 100, April 2004, 20–31, pdf
  • Daniel Bertrand, Benjamin Enriquez, Claude Mitschi, Claude Sabbah, Reinhard Schäfke (Eds.) Differential Equations and Quantum Groups. Andrey Bolibrukh Memorial Volume , European Mathematical Society 2007 (IRMA Lectures)
  • DV Anosov, VP Lekshin Andrei Andreevich Bolibrukh in life and science , Russian Mathematical Surveys, 59, 2004, 1213-1224

Web links

Individual evidence

  1. Anosov: Hilbert's 21 problem gemäß to Bolibruch, pdf, 1990