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- Drinfeld_module abstract "In mathematics, a Drinfeld module (or elliptic module) is roughly a special kind of module over a ring of functions on a curve over a finite field, generalizing the Carlitz module. Loosely speaking, they provide a function field analogue of complex multiplication theory. A shtuka (also called F-sheaf or chtouca) is a sort of generalization of a Drinfeld module, consisting roughly of a vector bundle over a curve, together with some extra structure identifying a \"Frobenius twist\" of the bundle with a \"modification\" of it.Drinfeld modules were introduced by Drinfeld (1974), who used them to prove the Langlands conjectures for GL2 of an algebraic function field in some special cases. He later invented shtukas and used shtukas of rank 2 to provethe remaining cases of the Langlands conjectures for GL2. Laurent Lafforgue proved the Langlands conjectures for GLn of a function field by studying the moduli stack of shtukas of rank n.\"Shtuka\" is a Russian word штука meaning \"a single copy\", which comes from the German noun “Stück”, meaning “piece, item, or unit\". In Russian, the word \"shtuka\" is also used in slang for a thing with known properties, but having no name in a speaker's mind.".
- Drinfeld_module wikiPageExternalLink Drinfeld%20-%20Elliptic%20Modules.pdf.
- Drinfeld_module wikiPageExternalLink what-is.pdf.
- Drinfeld_module wikiPageExternalLink pspum332-index.
- Drinfeld_module wikiPageExternalLink three.pdf.
- Drinfeld_module wikiPageID "38255517".
- Drinfeld_module wikiPageID "5578871".
- Drinfeld_module wikiPageLength "10324".
- Drinfeld_module wikiPageLength "29".
- Drinfeld_module wikiPageOutDegree "1".
- Drinfeld_module wikiPageOutDegree "29".
- Drinfeld_module wikiPageRedirects Drinfeld_module.
- Drinfeld_module wikiPageRevisionID "533561073".
- Drinfeld_module wikiPageRevisionID "683373846".
- Drinfeld_module wikiPageWikiLink Additive_polynomial.
- Drinfeld_module wikiPageWikiLink Algebraic_function_field.
- Drinfeld_module wikiPageWikiLink Algebraic_number_theory.
- Drinfeld_module wikiPageWikiLink American_Mathematical_Society.
- Drinfeld_module wikiPageWikiLink Carlitz_exponential.
- Drinfeld_module wikiPageWikiLink Category:Algebraic_geometry.
- Drinfeld_module wikiPageWikiLink Category:Algebraic_number_theory.
- Drinfeld_module wikiPageWikiLink Category:Finite_fields.
- Drinfeld_module wikiPageWikiLink Complex_multiplication.
- Drinfeld_module wikiPageWikiLink Dedekind_domain.
- Drinfeld_module wikiPageWikiLink Discrete_space.
- Drinfeld_module wikiPageWikiLink Drinfeld_module.
- Drinfeld_module wikiPageWikiLink Finite_field.
- Drinfeld_module wikiPageWikiLink Frobenius.
- Drinfeld_module wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Drinfeld_module wikiPageWikiLink Langlands_program.
- Drinfeld_module wikiPageWikiLink Laurent_Lafforgue.
- Drinfeld_module wikiPageWikiLink Leonard_Carlitz.
- Drinfeld_module wikiPageWikiLink Matematicheskii_Sbornik.
- Drinfeld_module wikiPageWikiLink Mathematics.
- Drinfeld_module wikiPageWikiLink Module_(mathematics).
- Drinfeld_module wikiPageWikiLink Moduli_space.
- Drinfeld_module wikiPageWikiLink Scheme_(mathematics).
- Drinfeld_module wikiPageWikiLink Springer_Science+Business_Media.
- Drinfeld_module wikiPageWikiLink St._Petersburg_Department_of_Steklov_Institute_of_Mathematics_of_Russian_Academy_of_Sciences.
- Drinfeld_module wikiPageWikiLink Stack_(mathematics).
- Drinfeld_module wikiPageWikiLink Twisted_polynomial_ring.
- Drinfeld_module wikiPageWikiLink Vector_bundle.
- Drinfeld_module wikiPageWikiLinkText "Carlitz module".
- Drinfeld_module wikiPageWikiLinkText "Drinfeld module".
- Drinfeld_module wikiPageWikiLinkText "Drinfeld's shtuka".
- Drinfeld_module first "E.-U.".
- Drinfeld_module id "D/d120270".
- Drinfeld_module last "Gekeler".
- Drinfeld_module title "Drinfeld module".
- Drinfeld_module wikiPageUsesTemplate Template:Citation.
- Drinfeld_module wikiPageUsesTemplate Template:Harvs.
- Drinfeld_module wikiPageUsesTemplate Template:Main.
- Drinfeld_module wikiPageUsesTemplate Template:Springer.
- Drinfeld_module subject Category:Algebraic_geometry.
- Drinfeld_module subject Category:Algebraic_number_theory.
- Drinfeld_module subject Category:Finite_fields.
- Drinfeld_module type Field.
- Drinfeld_module comment "In mathematics, a Drinfeld module (or elliptic module) is roughly a special kind of module over a ring of functions on a curve over a finite field, generalizing the Carlitz module. Loosely speaking, they provide a function field analogue of complex multiplication theory.".
- Drinfeld_module label "Drinfel'd module".
- Drinfeld_module label "Drinfeld module".
- Drinfeld_module sameAs Q3277053.
- Drinfeld_module sameAs m.0dtj1n.
- Drinfeld_module sameAs Q3277053.
- Drinfeld_module sameAs 德林費爾德模.
- Drinfeld_module wasDerivedFrom Drinfeld_module?oldid=533561073.
- Drinfeld_module wasDerivedFrom Drinfeld_module?oldid=683373846.
- Drinfeld_module isPrimaryTopicOf Drinfeld_module.