A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration

In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these invariants. A purpose of this note is to show how the conjecture arises. Because...

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Detalles Bibliográficos
Autor: Thuong, L.Q.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/666
Acceso en línea:http://hdl.handle.net/20.500.11824/666
Access Level:acceso abierto
Palabra clave:Definable sets
Formal schemes
Integral identity conjecture
Motivic integration
Resolution of singularity
Rigid varieties
Volume Poincaré series
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spelling A Short Survey on the Integral Identity Conjecture and Theories of Motivic IntegrationThuong, L.Q.Definable setsFormal schemesIntegral identity conjectureMotivic integrationResolution of singularityRigid varietiesVolume Poincaré seriesIn Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these invariants. A purpose of this note is to show how the conjecture arises. Because of the integral identity’s nature, we shall give a quick tour on theories of motivic integration, which lead to a proof of the conjecture for algebraically closed ground fields of characteristic zero.201720172017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/666reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttp://link.springer.com/article/10.1007%2Fs40306-016-0197-5info:eu-repo/grantAgreement/EC/FP7/615655info:eu-repo/grantAgreement/MINECO//SEV-2013-0323info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/6662026-06-19T12:47:47Z
dc.title.none.fl_str_mv A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
title A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
spellingShingle A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
Thuong, L.Q.
Definable sets
Formal schemes
Integral identity conjecture
Motivic integration
Resolution of singularity
Rigid varieties
Volume Poincaré series
title_short A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
title_full A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
title_fullStr A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
title_full_unstemmed A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
title_sort A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
dc.creator.none.fl_str_mv Thuong, L.Q.
author Thuong, L.Q.
author_facet Thuong, L.Q.
author_role author
dc.subject.none.fl_str_mv Definable sets
Formal schemes
Integral identity conjecture
Motivic integration
Resolution of singularity
Rigid varieties
Volume Poincaré series
topic Definable sets
Formal schemes
Integral identity conjecture
Motivic integration
Resolution of singularity
Rigid varieties
Volume Poincaré series
description In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these invariants. A purpose of this note is to show how the conjecture arises. Because of the integral identity’s nature, we shall give a quick tour on theories of motivic integration, which lead to a proof of the conjecture for algebraically closed ground fields of characteristic zero.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/666
url http://hdl.handle.net/20.500.11824/666
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://link.springer.com/article/10.1007%2Fs40306-016-0197-5
info:eu-repo/grantAgreement/EC/FP7/615655
info:eu-repo/grantAgreement/MINECO//SEV-2013-0323
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
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