Gennady Vladimirovich Bely
Gennady Vladimirovich Bely ( Russian Геннадий Владимирович Белый , English transcription Gennadii Vladimirovich Belyi , scientific transliteration. Gennady Vladimirovič Bely ; Ukrainian Генадій Володимирович Білий / Henadij Wolodymyrowytsch Bilyj ; * 2. February 1951 in Magnitogorsk , † 29. January 2001 in Vladimir (Russia) ) was a Soviet-Ukrainian mathematician who studied algebraic number theory.
Bely grew up in the Dnipropetrovsk Oblast of Ukraine and went to school in Kiev . From 1968 he studied mathematics at the Lomonossow University in Moscow . After completing his doctorate, he worked in Kiev and Lviv and from 1975 was a candidate at the Steklow Institute in Moscow under Igor Schafarewitsch , where he completed his habilitation in 1979 (Russian doctorate). From 1978 he taught at the Vladimir State University in Vladimir, Russia, as an assistant and from 1982 as a professor.
Bely worked mainly on the Galois theory of algebraic number fields. He is known for Belyi's theorem, which Alexander Grothendieck suspected. It says that precisely those compact Riemann surfaces can be defined as complex algebraic curves over a number field that are superimposed on the Riemann sphere (complex projective straight line) with a maximum of three branch points (usually selected at 0, 1 and the point at infinity) . The sentence plays a role in Grothendieck's program of children's drawings (Dessins d´Enfants in Esquisse d 'un Program , 1984), simple graphs on Riemann surfaces for studying the effect of the absolute Galois group over the rational numbers, as well as in the inverse Galois theory.
Fonts
- On the Galois extensions of maximally cyclotomic fields, Izvestija Akad. Nauka SSSR, Vol. 43, 1979, pp. 267-276 (Belyi's sentence)
literature
- F. Bogomolov, N. Dubrovin, VA Iskovskikh, VS Kulikov, AN Parshin, Igor Schafarewitsch , Obituary in Russian Mathematical Surveys, Vol. 57, 2002, pp. 981-983
Web links
- Biography at the Mathematical Society of Kiev, English
- Paul Garrett on Belyi's typesetting, PDF file
| personal data | |
|---|---|
| SURNAME | Bely, Gennady Vladimirovich |
| BRIEF DESCRIPTION | Soviet mathematician |
| DATE OF BIRTH | February 2, 1951 |
| PLACE OF BIRTH | Magnitogorsk |
| DATE OF DEATH | January 29, 2001 |
| Place of death | Vladimir , Russia |