翻訳と辞書
Words near each other
・ Alexander Melamid
・ Alexander Melentyev
・ Alexander Melik-Pashayev
・ Alexander Mellqvist
・ Alexander Melnikov
・ Alexander Melnikov (pianist)
・ Alexander Melnikov (politician)
・ Alexander Melrose
・ Alexander Melville
・ Alexander Melville Bell
・ Alexander Men
・ Alexander Mercury
・ Alexander Merensky
・ Alexander Mereskin
・ Alexander Merkel
Alexander Merkurjev
・ Alexander Mervart
・ Alexander Meston
・ Alexander Metz
・ Alexander Meyer
・ Alexander Meyer (disambiguation)
・ Alexander Meyrick Broadley
・ Alexander Mezhirov
・ Alexander Miasnikian
・ Alexander Michaeletos
・ Alexander Michel
・ Alexander Mickelthwate
・ Alexander Mikaberidze
・ Alexander Mikhailishin
・ Alexander Mikhailovich


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Alexander Merkurjev : ウィキペディア英語版
Alexander Merkurjev

Aleksandr Sergeyevich Merkurjev ((ロシア語:Алекса́ндр Сергее́вич Мерку́рьев), born September 25, 1955〔Listed in the (Library of Congress Online Catalog )〕) is a Russian-born American mathematician, who has made major contributions to the field of algebra. Currently Merkurjev is a professor at the University of California, Los Angeles.
==Work==
Merkurjev's work focuses on algebraic groups, quadratic forms, Galois cohomology, algebraic K-theory and central simple algebras. In the early 1980s Merkurjev proved a fundamental result about the structure of central simple algebras of period dividing 2, which relates the 2-torsion of the Brauer group with Milnor K-theory. In subsequent work with Suslin this was extended to higher torsion as the Merkurjev–Suslin theorem, recently generalized in the norm residue isomorphism theorem (previously known as the Bloch-Kato conjecture), proven in full generality by Rost and Voevodsky.
In the late 1990s Merkurjev gave the most general approach to the notion of essential dimension, introduced by Buhler and Reichstein, and made fundamental contributions to that field. In particular Merkurjev determined the essential p-dimension of central simple algebras of degree p^2 (for a prime p) and, in joint work with Karpenko, the essential dimension of finite ''p''-groups.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Alexander Merkurjev」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.