Name Sergei Vostokov | Residence Russia Fields Mathematics | |
Native name Sergei Vladimirovich Vostokov Born April 13, 1945 (age 79)
Saint Petersburg, USSR ( 1945-04-13 ) Institutions Saint Petersburg University Doctoral students Ivan Fesenko, Denis Benois, Mikhail Bondarko, Igor Zhukov Known for explicit formulas for the Hilbert symbol, Vostokov symbol Alma mater Saint Petersburg State University Books Local Fields and Their Extensions | ||
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.
Contents
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.
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.
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.
In 2014 Vostokov was awarded the Chebyshev Prize.