Sergei Vostokov
Sergei Vostokov | |
|---|---|
Сергей Востоков | |
| Born | 13 April 1945 |
| Died | 7 March 2025 (aged 79) |
| Alma mater | Saint Petersburg University |
| Known for | explicit formulas for the Hilbert symbol, Vostokov symbol |
| Scientific career | |
| Fields | Mathematics |
| Workplaces | Saint Petersburg University |
Doctoral students | Ivan Fesenko |
Sergei Vladimirovich Vostokov (Russian: Сергей Владимирович Востоков; 13 April 1945 – 7 March 2025) was a Russian mathematician who made major contributions to local number theory. He was a professor at St. Petersburg State University.
Life and work
Vostokov developed an important class of explicit formulas for the Hilbert symbol on local fields, which had 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]
Vostokov died on 7 March 2025, at the age of 79.[3]
Awards
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.[4][5]
In 2014, Vostokov was awarded the Chebyshev Prize.[6]
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
- ↑ "Sergei V Vostokov, Explicit formulas for the Hilbert symbol, In Invitation to higher local fields". Geometry & Topology Monographs. 3: 81–90. 2000. doi:10.2140/gtm.2000.3.
- ↑ Fesenko, I. (2000). "Explicit higher local class field theory, In Invitation to higher local fields". Geometry & Topology Monographs. 3: 95–102. doi:10.2140/gtm.2000.3.
- ↑ "Востоков Сергей Владимирович (13 апреля 1945 – 7 марта 2025)". Matholimp. Retrieved 10 March 2025.
- ↑ "Proceedings of St Petersburg Math Society". 2006.
- ↑ "Proceedings of St Petersburg Math Society". 2006.
- ↑ "Доктор физико-математических наук Востоков Сергей Владимирович | Санкт-Петербургский научный центр РАН | СПбНЦ РАН". www.spbrc.nw.ru (in Russian). Retrieved 15 April 2018.