Andrei Alexandrovich Suslin

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Andrei Alexandrowitsch Suslin , sometimes also Souslin transcribed, ( Russian Андрей Александрович Суслин ; * December 27, 1950 in Leningrad ; † July 10, 2018 in Saint Petersburg ) was a Russian mathematician who dealt with algebraic geometry and algebra.

Live and act

Suslin won first prize at the International Mathematical Olympiad in 1967. He studied in Leningrad, where he graduated in 1972 and received his doctorate in 1975. In 1977 he received his doctorate (equivalent to a habilitation in the West) with the work Serre's Problem and Related Questions . In 1980 he was awarded the Leninsky Komsomol Prize for solving Serre's problem. In 1977 he became a professor at the Steklov Institute in Leningrad. In 1994 he became a professor at Northwestern University .

Serre's problem from commutative algebra has resisted all attempted solutions since his formulation in 1955 and was solved independently by Suslin and Daniel Quillen (now Quillen-Suslin's theorem : All projective modules over polynomial rings are free).

In 1982 he and Alexander Merkurjev proved a set of algebraic K-theory about division algebras named after them .

Suslin worked with Fields Prize winner Wladimir Wojewodski on motivic cohomology theories that aim to play a role for algebraic varieties similar to that of singular cohomology in algebraic topology, with corresponding connections to (algebraic) K theory . In Higher Chow Groups and Etale Cohomology , he clarified the connection between Spencer Bloch's higher Chow groups and Vojewodski's motivic cohomology theory.

In 1978, 1986 and 1994 (Algebraic K-theory and motivic cohomology) he was invited speaker at the ICM (International Congress of Mathematicians), and in 1986 he was also a plenary speaker (Algebraic K-theory of fields). In 2000 he received the Cole Prize in Algebra. From 2001 he was a member of the American Academy of Arts and Sciences .

Works (selection)

  • Projective modules over polynomial rings are free. (Russian) Docl. Akad. Nauk SSSR 229 (1976), no. 5, 1063-1066.
  • The structure of the special linear group over rings of polynomials. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 41 (1977) no. 2, 235-252, 477.
  • with A. Merkurjev: K -cohomology of Severi-Brauer varieties and the norm residue homomorphism. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 46 (1982) no. 5, 1011-1046, 1135-1136.
  • On the K theory of algebraically closed fields. Invent. Math. 73 (1983) no. 2, 241-245.
  • On the K theory of local fields. J. Pure Appl. Algebra 34 (1984) no. 2-3, 301-318.
  • Algebraic K theory of fields. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 222-244, Amer. Math. Soc., Providence, RI, 1987.
  • with Y.Nesterenko: Homology of the general linear group over a local ring, and Milnor's K -theory. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) no. 1, 121-146; English translation in Math. USSR-Izv. 1990, 34, no. 1, 121-145
  • with A.Merkurjev: Norm residue homomorphism of degree three. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990), no. 2, 339-356; English translation in Math. USSR-Izv. 36 (1991) no. 2, 349-367
  • with V. Voevodsky: Singular homology of abstract algebraic varieties. Invent. Math. 123 (1996), no. 1, 61-94.
  • with E. Friedlander: Cohomology of finite group schemes over a field. Invent. Math. 127 (1997) no. 2, 209-270.
  • with V. Voevodsky: Bloch-Kato conjecture and motivic cohomology with finite coefficients. The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), 117-189, NATO Sci. Ser. C Math. Phys. Sci., 548, Kluwer Acad. Publ., Dordrecht, 2000.
  • with V. Voevodsky, E. Friedlander: Cycles, transfers, and motivic homology theories. Annals of Mathematics Studies, 143. Princeton University Press, Princeton, NJ, 2000. ISBN 0-691-04814-2 ; 0-691-04815-0
  • with E. Friedlander: The spectral sequence relating algebraic K -theory to motivic cohomology. Ann. Sci. École Norm. Sup. (4) 35 (2002), no. 6, 773-875.
  • with J.Carlson, E. Friedlander: Modules for Z / p × Z / p. Comment. Math. Helv. 86 (2011), no. 3, 609-657.

literature

  • Eric M. Friedlander, Alexander S. Merkurjev: The mathematics of Andrei Suslin , Bull. Amer. Math. Soc., Volume 57, 2020, pp. 1-22, online

Web links

Individual evidence

  1. ↑ В Петербурге ушел из жизни известный математик Андрей Суслин , accessed July 10, 2018
  2. ^ Suslin: Projective modules over polynomial rings are free. So V. Math. Doklady Vol. 17, 1976, pp. 1160-1164.
  3. ^ Suslin, Voevodsky: Bloch-Kato conjecture and motivic cohomology of finite coefficients. Proc. NATO School Banff, Cycles, Transfers and motivic homology theories. Annals of Mathematical Studies 1999
  4. ↑ in: Cycles, Transfers and motivic homology theories. Annals of Mathematical Studies 1999.
personal data
SURNAME Suslin, Andrei Alexandrovich
ALTERNATIVE NAMES Suslin, Andrej Aleksandrovič; Суслин, Андрей Александрович (Russian spelling); Souslin, Andrei Alexandrovich
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH December 27, 1950
PLACE OF BIRTH Leningrad
DATE OF DEATH July 10, 2018
Place of death St. Petersburg