About: Milnor conjecture

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Milnor conjecture Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Theorem106752293, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FMilnor_conjecture&invfp=IFP_OFF&sas=SAME_AS_OFF

In mathematics, the Milnor conjecture was a proposal by John Milnor of a description of the Milnor K-theory (mod 2) of a general field F with characteristic different from 2, by means of the Galois (or equivalently étale) cohomology of F with coefficients in Z/2Z. It was proved by Vladimir Voevodsky .

Attributes	Values
rdf:type	yago:WikicatConjectures yago:WikicatTheoremsInAbstractAlgebra yago:WikicatTheoremsInAlgebra yago:Abstraction100002137 yago:Cognition100023271 yago:Communication100033020 yago:Concept105835747 yago:Content105809192 yago:Hypothesis105888929 yago:Idea105833840 yago:Message106598915 yago:Proposition106750804 yago:PsychologicalFeature100023100 aircraft yago:Speculation105891783 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Conjecture de Milnor (fr) Milnor conjecture (en) ミルナー予想 (ja) Milnors förmodan (sv)
rdfs:comment	En mathématiques, la conjecture de Milnor dit que pour tout corps F de caractéristique différente de 2, la K-théorie de Milnor modulo 2 de F est isomorphe à sa cohomologie étale (ou ce qui est équivalent : à sa cohomologie de Galois i.e. à la cohomologie de son groupe de Galois absolu, profini), à coefficients dans Z/2Z. Après être restée ouverte pendant environ vingt ans, cette conjecture a été démontrée en 1996 par Vladimir Voïevodski, qui a reçu pour cela une médaille Fields en 2002, et qui a contribué à la démonstration, en 2009, de sa généralisation : la (en). (fr) In mathematics, the Milnor conjecture was a proposal by John Milnor of a description of the Milnor K-theory (mod 2) of a general field F with characteristic different from 2, by means of the Galois (or equivalently étale) cohomology of F with coefficients in Z/2Z. It was proved by Vladimir Voevodsky . (en) 数学において、ミルナー予想(Milnor conjecture)は、標数が 2 以外の一般の体 F のミルナーのK-理論 (mod 2) の論文 John Milnor により提示された。この理論は、係数を Z/2Z に持つ F のガロアコホモロジー、同じことであるがエタールコホモロジーに依拠している。本予想は、で証明された。 (ja) Inom matematiken är Milnors förmodan en förmodan framlagd av om en beskrivning av Milnors K-teori (mod 2) av en allmän kropp F med karakteristik skild från 2 med hjälp av Galoiskohomologi (eller ekvivalent ) av F med koefficienter i Z/2Z. Den bevisades av . (sv)
dcterms:subject	K-theory Theorems in algebraic topology Conjectures that have been proved
Wikipage page ID	2914126 (xsd:integer)
Wikipage revision ID	969796719 (xsd:integer)
Link from a Wikipage to another Wikipage	Vladimir Voevodsky Inventiones Mathematicae Mathematics Eric Friedlander Milnor K-theory Andrei Suslin Clay Mathematics Monographs Étale cohomology K-theory Theorems in algebraic topology Galois cohomology Alexander Merkurjev Algebraic varieties American Mathematical Society Field (mathematics) Isomorphism Prime number Conjectures that have been proved Characteristic (algebra) Bloch–Kato conjecture Milnor ring Markus Rost Fabien Morel Motivic cohomology Norm residue isomorphism theorem Springer-Verlag Singular cohomology dbr:Motivic_Steenrod_algebra
Link from a Wikipage to an external page	http://math.rutgers.edu/~weibel/motiviclectures.html http://www.math.uiuc.edu/K-theory/0170 http://www.numdam.org/item%3Fid=PMIHES_2003__98__1_0 http://www.numdam.org/item%3Fid=PMIHES_2003__98__59_0
sameAs	Milnor conjecture Milnor conjecture Milnor conjecture Milnor conjecture Milnor conjecture Milnor conjecture Milnor conjecture
dbp:wikiPageUsesTemplate	dbt:Citation dbt:For dbt:Short_description dbt:Harvs
authorlink	John Milnor (en) Vladimir Voevodsky (en)
first	Vladimir (en) John (en)
last	Milnor (en) Voevodsky (en)
year	1970 (xsd:integer) 1996 (xsd:integer) 2003 (xsd:integer)
has abstract	En mathématiques, la conjecture de Milnor dit que pour tout corps F de caractéristique différente de 2, la K-théorie de Milnor modulo 2 de F est isomorphe à sa cohomologie étale (ou ce qui est équivalent : à sa cohomologie de Galois i.e. à la cohomologie de son groupe de Galois absolu, profini), à coefficients dans Z/2Z. Après être restée ouverte pendant environ vingt ans, cette conjecture a été démontrée en 1996 par Vladimir Voïevodski, qui a reçu pour cela une médaille Fields en 2002, et qui a contribué à la démonstration, en 2009, de sa généralisation : la (en). (fr) In mathematics, the Milnor conjecture was a proposal by John Milnor of a description of the Milnor K-theory (mod 2) of a general field F with characteristic different from 2, by means of the Galois (or equivalently étale) cohomology of F with coefficients in Z/2Z. It was proved by Vladimir Voevodsky . (en) 数学において、ミルナー予想(Milnor conjecture)は、標数が 2 以外の一般の体 F のミルナーのK-理論 (mod 2) の論文 John Milnor により提示された。この理論は、係数を Z/2Z に持つ F のガロアコホモロジー、同じことであるがエタールコホモロジーに依拠している。本予想は、で証明された。 (ja) Inom matematiken är Milnors förmodan en förmodan framlagd av om en beskrivning av Milnors K-teori (mod 2) av en allmän kropp F med karakteristik skild från 2 med hjälp av Galoiskohomologi (eller ekvivalent ) av F med koefficienter i Z/2Z. Den bevisades av . (sv)
gold:hypernym	Proposal
prov:wasDerivedFrom	wikipedia-en:Milnor_conjecture?oldid=969796719&ns=0
page length (characters) of wiki page	3994 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Milnor_conjecture
is Link from a Wikipage to another Wikipage of	List of conjectures Motive (algebraic geometry) Algebraic K-theory Arason invariant Vladimir Voevodsky Special values of L-functions Milnor K-theory A¹ homotopy theory Fields Medal Charles Weibel

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 50 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software