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Conference Paper: Noncommutative differential calculus and Calabi-Yau geometry

TitleNoncommutative differential calculus and Calabi-Yau geometry
Authors
Hua, Z
Issue Date2019
Citation
Algebra and Algebraic Geometry Seminar, Pacific Institute for the Mathematical Sciences (PIMS), University of British Columbia (UBC), Vancouver, BC Canada, 8 July 2019 How to Cite?
AbstractQuivers with potential appear naturally in the study of the deformation theory of objects in 3D Calabi-Yau categories, for example the deformation of vector bundles on 3D Calabi-Yau manifolds. They provide a deep link between geometry of Calabi-Yau manifolds to some aspects of representation theory, for example cluster algebras, quantum enveloping algebras, etc. In this talk, I will survey some recent progress in non commutative differential calculus of quivers with potentials, and show how this leads to new results in birational geometry and Donaldson-Thomas theory.
Persistent Identifierhttp://hdl.handle.net/10722/309841

 

DC FieldValueLanguage
dc.contributor.authorHua, Z-
dc.date.accessioned2022-01-10T07:11:55Z-
dc.date.available2022-01-10T07:11:55Z-
dc.date.issued2019-
dc.identifier.citationAlgebra and Algebraic Geometry Seminar, Pacific Institute for the Mathematical Sciences (PIMS), University of British Columbia (UBC), Vancouver, BC Canada, 8 July 2019-
dc.identifier.urihttp://hdl.handle.net/10722/309841-
dc.description.abstractQuivers with potential appear naturally in the study of the deformation theory of objects in 3D Calabi-Yau categories, for example the deformation of vector bundles on 3D Calabi-Yau manifolds. They provide a deep link between geometry of Calabi-Yau manifolds to some aspects of representation theory, for example cluster algebras, quantum enveloping algebras, etc. In this talk, I will survey some recent progress in non commutative differential calculus of quivers with potentials, and show how this leads to new results in birational geometry and Donaldson-Thomas theory.-
dc.languageeng-
dc.relation.ispartofAlgebraic Geometry Seminar, Pacific Institute for the Mathematical Sciences (PIMS), University of British Columbia (UBC)-
dc.relation.ispartofPIMS Algebraic Geometry Seminar, University of British Columbia (UBC)-
dc.titleNoncommutative differential calculus and Calabi-Yau geometry-
dc.typeConference_Paper-
dc.identifier.emailHua, Z: huazheng@hku.hk-
dc.identifier.authorityHua, Z=rp01790-
dc.identifier.hkuros313434-

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