About: Local Langlands conjectures

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

About: Local Langlands conjectures Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Speculation105891783, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FLocal_Langlands_conjectures

In mathematics, the local Langlands conjectures, introduced by Robert Langlands , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups.

Attributes	Values
rdf:type	yago:WikicatAutomorphicForms yago:WikicatConjectures yago:Abstraction100002137 yago:Cognition100023271 yago:Concept105835747 yago:Content105809192 yago:Form106290637 yago:Hypothesis105888929 yago:Idea105833840 yago:LanguageUnit106284225 yago:Part113809207 yago:PsychologicalFeature100023100 yago:Relation100031921 yago:Word106286395 yago:Speculation105891783
rdfs:label	Local Langlands conjectures (en) Lokala Langlandsförmodandena (sv)
rdfs:comment	In mathematics, the local Langlands conjectures, introduced by Robert Langlands , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups. (en) Inom matematiken är lokala Langlandsförmodandena, introducerade av Langlands , en del av Langlands program. De beskriver en korrespondens mellan komplexa representationer av en reduktiv G över en F och representationer av av F till L-gruppen av G. Denna korrespondens är i allmänhet inte bijektiv. Förmodandena kan ses som en generalisering av från abelska Galoisgrupper till icke-abelska Galoisgrupper. (sv)
dcterms:subject	Conjectures Representation theory of Lie groups Zeta and L-functions Class field theory Automorphic forms Langlands program
Wikipage page ID	7676971 (xsd:integer)
Wikipage revision ID	1020399070 (xsd:integer)
Link from a Wikipage to another Wikipage	Princeton University Press Algebraic group Annals of Mathematics International Mathematics Research Notices Inventiones Mathematicae (g,K)-module Conjectures Representation theory of Lie groups Mathematics Bernstein–Zelevinsky classification Symplectic group Galois group Langlands classification Langlands group Langlands program Langlands–Deligne local constant Local class field theory American Mathematical Society Zeta and L-functions Class field theory Automorphic forms Langlands program Langlands dual Weil group Springer-Verlag Artin map Local Langlands group Weil–Deligne group dbr:Symplectic_similitude_group
Link from a Wikipage to an external page	https://www.ams.org/publications/online-books/pspum332-index https://books.google.com/books%3Fid=_p5qAAAAMAAJ http://publications.ias.edu/rpl/section/21 http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/JL.html%23book http://mathunion.org/ICM/ICM2006.2/ http://www.numdam.org/item%3Fid=SB_1998-1999__41__191_0 https://books.google.com/books%3Fid=sigBbO69hvMC https://web.archive.org/web/20200507053302/http:/users.ictp.it/~pub_off/lectures/lns021/Wedhorn/Wedhorn.pdf%7C http://www.numdam.org/item%3Fid=SB_1991-1992__34__369_0 http://www.numdam.org/item/SB_1979-1980__22__112_0 http://www.numdam.org/item/SB_1979-1980__22__112_0/ http://users.ictp.it/~pub_off/lectures/lns021/Wedhorn/Wedhorn.pdf http://video.ias.edu/Automorphic-Forms-taylor https://books.google.com/books%3Fid=J3bciC6TYY8C http://www.math.jussieu.fr/~harris/IHPcourse.pdf%7Cyear=2000%7Ctitle=The http://www-math.mit.edu/~dav/paper.html http://publications.ias.edu/rpl/ http://publications.ias.edu/rpl/paper/16
sameAs	Local Langlands conjectures Local Langlands conjectures Local Langlands conjectures Local Langlands conjectures Local Langlands conjectures
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harv dbt:Harvtxt dbt:Harvs
authorlink	Robert Langlands (en)
first	Robert (en)
last	Langlands (en)
year	1967 (xsd:integer) 1970 (xsd:integer)
has abstract	In mathematics, the local Langlands conjectures, introduced by Robert Langlands , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups. (en) Inom matematiken är lokala Langlandsförmodandena, introducerade av Langlands , en del av Langlands program. De beskriver en korrespondens mellan komplexa representationer av en reduktiv G över en F och representationer av av F till L-gruppen av G. Denna korrespondens är i allmänhet inte bijektiv. Förmodandena kan ses som en generalisering av från abelska Galoisgrupper till icke-abelska Galoisgrupper. (sv)
gold:hypernym	Part
prov:wasDerivedFrom	wikipedia-en:Local_Langlands_conjectures?oldid=1020399070&ns=0
page length (characters) of wiki page	19065 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Local_Langlands_conjectures
is Link from a Wikipage to another Wikipage of	Ulrich Stuhler Peter Scholze Richard Taylor (mathematician) Robert Langlands L-packet Christophe Breuil

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 (61 GB total memory, 49 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software