Marina Ratner

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Marina Ratner in Berkeley 1988

Marina Ratner ( Russian Марина Ратнер ; born October 30, 1938 in Moscow ; † July 7, 2017 in El Cerrito , California ) was a Russian -born American mathematician .

Life

Ratner was the daughter of two scientists and studied mathematics at Lomonosov University from 1956 , shortly after it became possible for students of Jewish origin. She graduated in 1961 and then worked in Andrei Kolmogorow's working group on applied statistics and in his teaching program for talented high school students in Moscow. In 1965 she began her doctorate at Lomonossow University, which she obtained in 1969 from Jakow Sinai ( Geodesic flows on unit tangent bundles of compact surfaces of negative curvature ). After completing her doctorate, she was an assistant at the Moscow Technical University, but was dismissed after applying for a visa to Israel . From 1971 to 1975 she was a lecturer at the Hebrew University in Jerusalem and a teacher in their university preparatory courses. From 1975 she was at the University of Berkeley , from 1982 as a professor. In 1977 she received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ).

Ratner was known for her work in ergodic theory . There she is known for the Ratner theorems about unipotent flows in homogeneous spaces, which she proved around 1990. They played an important role in the proof of the Oppenheim conjecture by Grigori Margulis .

In 1993 she received the Ostrowski Prize . From 1992 she was in the American Academy of Arts and Sciences and from 1993 in the National Academy of Sciences , whose John J. Carty Award she received in 1994, especially for her proof of the Raghunathan conjectures in number theory. In 1994 she gave a plenary lecture at the ICM in Zurich ( Interactions beween ergodic theory, Lie groups, and number theory ).

Ratner has a daughter Anna. Her nephew Michael Bialy is Professor of Mathematics at Tel Aviv University.

Fonts

  • Marina Ratner: Strict measure rigidity for unipotent subgroups of solvable groups . In: Inventiones Mathematicae . tape 101 , no. 1 , December 1990, ISSN  0020-9910 , pp. 449-482 , doi : 10.1007 / BF01231511 .
  • Marina Ratner: On measure rigidity of unipotent subgroups of semisimple groups . In: Acta Mathematica . tape 165 , no. 0 , 1990, ISSN  0001-5962 , pp. 229-309 , doi : 10.1007 / BF02391906 .
  • Marina Ratner: Interactions Between Ergodic Theory, Lie Groups, and Number Theory . In: Proceedings of the International Congress of Mathematicians . Birkhäuser Basel, Basel 1995, ISBN 978-3-0348-9897-3 , p. 157-182 , doi : 10.1007 / 978-3-0348-9078-6_13 .

literature

Web links

Notes and references

  1. ↑ In Memoriam. In: Department of Mathematics at University of California Berkeley. Retrieved March 26, 2020 (English).
  2. ↑ Marina Ratner: Raghunathan's topological conjecture and distributions of unipotent flows , Duke Mathematical Journal 63, June 1991, pp. 235-280 (English)
    Marina Ratner: On Raghunathan's measure conjecture , Annals of Mathematics 134, November 1991, pp. 545-607 (English)
    Marina Ratner: Raghunathan's conjectures for SL (2, R) , Israel Journal of Mathematics 80, June 1992, pp. 1–31 (English)
    Marina Ratner: Raghunathan's conjectures for p-adic Lie groups , International Mathematics Research Notices, 1993, pp. 141–146 (English)
    Marina Ratner: Raghunathan's conjectures for cartesian products of real and p-adic Lie groups , Duke Mathematical Journal 77, February 1995, pp. 275–382 (English)
personal data
SURNAME Ratner, Marina
ALTERNATIVE NAMES Ратнер, Марина Евсеевна (Russian)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH October 30, 1938
PLACE OF BIRTH Moscow
DATE OF DEATH 7th July 2017
Place of death El Cerrito (Contra Costa County)