Sergei Vostokov
| Sergei Vostokov | |
|---|---|
| Native name | Sergei Vladimirovich Vostokov |
| Born |
April 13, 1945 Saint Petersburg, USSR |
| Residence | Russia |
| Fields | Mathematics |
| Institutions | Saint Petersburg University |
| Alma mater | Saint Petersburg University |
| Doctoral students | Ivan Fesenko, Denis Benois, Mikhail Bondarko, Igor Zhukov |
| Known for | explicit formulas for the Hilbert symbol, Vostokov symbol |
| Notable awards | Chebyshev Prize (2014) |
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.
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
- ↑ "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.
- ↑ 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.
- ↑ "Proceedings of St Petersburg Math Society". 2006.
- ↑ "Proceedings of St Petersburg Math Society". 2006.
- ↑ "Prizes 2014".