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格列戈里·馬爾古利斯

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格列戈里·亞歷山德羅維奇·馬爾古利斯(俄語:Григо́рий Алекса́ндрович Маргу́лис,英語:Gregori Aleksandrovich Margulis,1946年2月24日),俄裔美籍数学家。菲尔兹奖沃尔夫数学奖阿贝尔奖得主。

生平[编辑]

生于苏联莫斯科。1970年,于莫斯科大学获得博士学位。以在相群和李群上的研究著名。他在丢番图逼近中引入了遍历理论。他在1978年芬兰赫尔辛基国际数学家大会上被授予菲尔兹奖,2005年获得以色列沃尔夫数学奖,是历史上第七位双料得主。1991年,加盟耶鲁大学,现为耶鲁数学系讲席教授。2001年,当选美国科学院院士。2020年獲得阿貝爾獎

著作[编辑]

图书[编辑]

  • Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 17. Springer-Verlag, Berlin, 1991. x+388 pp. ISBN 3-540-12179-X MR1090825[1]
  • On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Translated from the Russian by Valentina Vladimirovna Szulikowska. Springer-Verlag, Berlin, 2004. vi+139 pp. ISBN 3-540-40121-0 MR2035655[2]

演讲[编辑]

  • Oppenheim conjecture. Fields Medallists' lectures, 272–327, World Sci. Ser. 20th Century Math., 5, World Sci. Publ., River Edge, NJ, 1997 MR1622909
  • Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 193–215, Math. Soc. Japan, Tokyo, 1991 MR1159213

论文[编辑]

  • Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators. (Russian) Problemy Peredachi Informatsii 24 (1988), no. 1, 51–60; translation in Problems Inform. Transmission 24 (1988), no. 1, 39–46
  • Arithmeticity of the irreducible lattices in the semisimple groups of rank greater than 1, Invent. Math. 76 (1984), no. 1, 93–120 MR0739627
  • Some remarks on invariant means, Monatsh. Math. 90 (1980), no. 3, 233–235 MR0596890
  • Arithmeticity of nonuniform lattices in weakly noncompact groups. (Russian) Funkcional. Anal. i Prilozen. 9 (1975), no. 1, 35–44
  • Arithmetic properties of discrete groups, Russian Math. Surveys 29 (1974) 107–165 MR0463353

逸事[编辑]

1978年获得菲尔兹奖时,苏联政府禁止他赴赫尔辛基领奖。1979年,他访问德国波恩后,才获得自由身,得以领奖。

外部链接[编辑]

  1. ^ Zimmer, Robert J. Review: Discrete subgroups of semisimple Lie groups, by G. A. Margulis (PDF). Bull. Amer. Math. Soc. (N.S.). 1992, 27 (1): 198–202. doi:10.1090/s0273-0979-1992-00306-3. 
  2. ^ Parry, William. Review: On some aspects of the theory of Anosov systems, by G. A. Margulis, with a survey "Periodic orbits of hyperbolic flows", by Richard Sharp (PDF). Bull. Amer. Math. Soc. (N.S.). 2005, 42 (2): 257–261. doi:10.1090/S0273-0979-05-01051-7.