Sergei Vostokov

Sergei Vladimirovich Vostokov (Russian: Сергей Владимирович Востоков; born April 13, 1945) is a Russian mathematician. He made major contributions to local number theory. He is a professor at St. Petersburg State University.

Sergei Vostokov
Born (1945-04-13) April 13, 1945
Saint Petersburg, USSR
Alma materSaint Petersburg University
Known forexplicit formulas for the Hilbert symbol, Vostokov symbol
AwardsChebyshev Prize (2014)
Scientific career
FieldsMathematics
InstitutionsSaint Petersburg University
Doctoral studentsIvan Fesenko

Work

Vostokov developed an important class of explicit formulas for the Hilbert symbol on local fields, which have a wide range of applications in number theory.[1]

His formulas generalize to formal groups. A generalization of his explicit formula to higher local fields is called the Vostokov symbol. It plays an important role in higher local class field theory.[2]

Prizes

For his 60th birthday, two special volumes of St Petersburg Mathematical Society of Vostokov were published in Russian and English by the American Mathematical Society.[3][4]

In 2014 Vostokov was awarded the Chebyshev Prize.[5]

Bibliography

Books
  • Fesenko, Ivan B.; Vostokov, S. V. (17 July 2002). Local Fields and Their Extensions: Second Edition. American Mathematical Society. ISBN 978-0-8218-3259-2.

References
  1. "Sergei V Vostokov, Explicit formulas for the Hilbert symbol, In Invitation to higher local fields". Geometry and Topology Monographs. 3: 81–90. 2000. doi:10.2140/gtm.2000.3.
  2. Fesenko, I. (2000). "Explicit higher local class field theory, In Invitation to higher local fields". Geometry and Topology Monographs. 3: 95–102. doi:10.2140/gtm.2000.3.
  3. "Proceedings of St Petersburg Math Society". 2006.
  4. "Proceedings of St Petersburg Math Society". 2006.
  5. "Доктор физико-математических наук Востоков Сергей Владимирович | Санкт-Петербургский научный центр РАН | СПбНЦ РАН". www.spbrc.nw.ru (in Russian). Retrieved 2018-04-15.
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