Sergei_Vostokov

Sergei Vostokov

Sergei Vostokov

Russian mathematician (born 1945)

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.

Quick Facts Born, Alma mater ...

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][failed verification]

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. [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. [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. [3]
    "Proceedings of St Petersburg Math Society". 2006.
  4. [4]
    "Proceedings of St Petersburg Math Society". 2006.
  5. [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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