Sergei Vladimirovich Vostokov
Sergei Wladimirowitsch Wostokow ( Russian Сергей Владимирович Востоков , English transcription Sergei Vladimirovich Vostokov, born April 13, 1945 ) is a Russian mathematician who deals with algebraic number theory. He is a professor at the Saint Petersburg State University .
Vostokow received his doctorate from Senon Ivanovich Borevich at the University of Leningrad, where he had studied since 1963.
He gave explicit formulas for the Hilbert symbol in local and higher-dimensional local bodies and generalized the Hilbert symbol for different classes of formal groups. He published his basic formula for the Hilbert symbol in 1978 (also called the Vostokov symbol), building on the work of Igor Schafarewitsch and Helmut Hasse . The definition is independent of the class field theory and had an influence on arithmetic geometry. He also published on the structure of the Galois modules of local bodies. In St. Petersburg he established a new constructive approach to algebraic number theory.
Ivan Borissowitsch Fessenko is one of his doctoral students .
Fonts
- Editor with Yuri Zarhin Algebraic number theory and algebraic geometry. Papers dedicated to AN Parshin on the occasion of his 60th birthday , Contemporary Mathematics 300, American Mathematical Society 2002
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Vostokow, Sergei Wladimirowitsch |
| ALTERNATIVE NAMES | Востоков, Сергей Владимирович (Russian) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | April 13, 1945 |