Vladimir Petrovich Platonov

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Vladimir Platonov , Russian Владимир Петрович Платонов , English transcription Vladimir Petrovich Platonov (* 1. December 1939 in Staiki ( Russian Стайки ) Region Vitebsk, Belarus ) is a Belarusian mathematician with algebra (especially algebraic groups), number theory and Algebraic geometry deals.

Life

Platonov graduated from the Belarusian State University in Minsk in 1961 and received his doctorate in 1963 from the Academy of Sciences of Belarus. In 1967 he completed his habilitation (Russian doctorate) at the Russian Academy of Sciences. In the same year, at the age of only 28, he became a professor at the Belarusian State University, where he headed the Algebra and Topology Department. From 1971 he was head of the department of algebraic geometry and topology at the Mathematics Institute of the Belarusian Academy of Sciences, of which he was director from 1977 to 1992. From 1993 to 2001 he was professor of mathematics at the University of Waterloo in Waterloo (Ontario) (and at the same time until 1996 senior scientist at the Institute of Mathematics of the Belarusian Academy of Sciences). After being charged with assaulting his wife (who subsequently filed for divorce) in November 1999, he was given a suspended sentence and in 2001 he gave up his professorship in Canada by taking early retirement. He was then a senior scientist at the Scientific Research Institute of System Development (SRISA / NIISI RAS) of the Russian Academy of Sciences in Moscow.

plant

After he dealt with topological groups until 1966, he then turned to algebraic groups and their application in number theory. In this area he solved a number of open problems (Tannaka-Artin problem, problems by Kneser-Tits and Alexander Grothendieck and others) and developed new methods (such as reduced K-theory).

With Fritz Grunewald he solved the problem of the arithmeticity of finite extensions of arithmetic groups and the rigidity problem of arithmetic subgroups of algebraic groups. He solved the rationality problem for spinor varieties and Jean Dieudonnél's problem for spinor norms.

He wrote a research monograph on algebraic groups and number theory with Andrei Stepanowitsch Rapinchuk (AS Rapinchuk), which is a standard work.

Most recently he has been working on arithmetic geometry.

Memberships and honors

From 1972 he was a member of the Belarusian Academy of Sciences and he was its president from 1987 to 1993. In 1987 he became a member of the Soviet Academy of Sciences and from 1989 to 1991 in its Presidium. He is a member of the Canadian Academy of Sciences.

He was invited speaker at the International Congress of Mathematicians in Vancouver 1974 (arithmetic and structural problems in linear algebraic groups, Russian) and in Helsinki 1978 (Algebraic groups and reduced K-theory) and at the European Congress of Mathematicians in Budapest 1996 (Rationality problems for group varieties) .

In 1968 he received the Lenin Konsomol Prize for work in topological group theory and in 1978 the Lenin Prize for his essay series Arithmetic of Algebraic Groups and Reduced K-Theory . In 1993 he received the Humboldt Research Award .

Fonts (selection)

  • with Andrei Rapinchuk: Algebraic Groups and Number Theory, Academic Press 1993
  • The Tanaka – Artin problem and reduced K theory, Izv. Akad. Nauk SSSR ,. Ser. Mat., Vol. 40, 1976, pp. 227-243 (Russian)
  • with Fritz Grunewald: Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems, Duke Math. J., Volume 100, 1999, pp. 321-358
  • New properties of arithmetic groups, Russian Math. Surveys, Volume 65, 2010, pp. 951-975
  • Rigidity for groups with radical, cohomology of finite groups, and arithmeticity problems, Russian Math. Surveys, Volume 54, 1999, pp. 171-179
  • with AS Rapinchuk: Algebraic groups and number theory, Russian Math. Surveys, Volume 47, 1992, pp. 133-161
  • The arithmetic theory of algebraic groups, Russian Math. Surveys, Volume 37, 1982, pp. 1-62

literature

  • SI Adian , EI Zel'manov , GA Margulis , SP Novikov , AS Rapinchuk, LD Faddeev , VI Yanchevskii: Vladimir Petrovich Platonov (on his 60th birthday), Uspekhi Mat. Nauk, Volume 55, 2000, pp. 197-204
  • VV Benyash-Krivets, AB Zhizhchenko, EI Zel'manov, AA Mal'tsev, GA Margulis, SP Novikov, Yu. S. Osipov, G. Prasad, AS Rapinchuk, LD Faddeev: Vladimir Petrovich Platonov (on his 70th birthday), Uspekhi Mat. Nauk, Volume 65, 2010, pp. 203-206
  • SI Adian, VV Benyash-Krivets, VM Letter , EI Zelmanov, VV Kozlov, GA Margulis, SP Novikov, AN Parshin , G. Prasad , AS Rapinchuk, LD Faddeev, VI Chernousov: Vladimir Petrovich Platonov (on his 75th birthday), Uspekhi Mat. Nauk, Volume 70, 2015, pp. 204-207

See also

Web links

Individual evidence

  1. ↑ Prof. Platonov to take early retirement from UW, press release of the University of Waterloo, August 31, 2001  ( page no longer available , search in web archives )@1@ 2Template: Dead Link / www.adm.uwaterloo.ca
  2. ^ Daily Bulletin, University of Waterloo, Jan. 22, 2001
  3. ^ For example, VP Platonov: Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field, Russian Math. Surveys, Volume 69, 2014, pp. 1–34
personal data
SURNAME Platonov, Vladimir Petrovich
ALTERNATIVE NAMES Платонов, Владимир Петрович (Russian); Стайки (Russian)
BRIEF DESCRIPTION Belarusian mathematician
DATE OF BIRTH December 1, 1939
PLACE OF BIRTH Vitebsk region