Quillen–Lichtenbaum conjecture

id: quillen-lichtenbaum-conjecture-253-16793992
title: Quillen–Lichtenbaum conjecture
text: In mathematics, the Quillen–Lichtenbaum conjecture is a conjecture relating étale cohomology to algebraic K-theory introduced by Quillen, who was inspired by earlier conjectures of Lichtenbaum (1973). Kahn (1997) and Rognes & Weibel (2000) proved the Quillen–Lichtenbaum conjecture at the prime 2 for some number fields. Voevodsky, using some important results of Markus Rost, has proved the Bloch–Kato conjecture, which implies the Quillen–Lichtenbaum conjecture for all primes.
brand slug: wiki
category slug: encyclopedia
description: Mathematical conjecture
original url: https://en.wikipedia.org/wiki/Quillen%E2%80%93Lichtenbaum_conjecture
date created:
date modified: 2024-04-05T04:15:33Z
main entity: {"identifier":"Q7271997","url":"https://www.wikidata.org/entity/Q7271997"}
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fields total: 13
integrity: 14

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