File Download

There are no files associated with this item.

Supplementary

Conference Paper: Shifted Poisson structures and elliptic deformations

TitleShifted Poisson structures and elliptic deformations
Authors
Hua, Z
Issue Date2017
Citation
Mathematics and Superstring Theory -Unlocking the Mysteries of the Accelerating Universe through Superstring Theory and Astrophysical Observations, IPMU University of Tokyo, Tokyo, Japan, 21-23 March 2017 How to Cite?
AbstractIn their seminal paper, Pantev, Toen, Vaquie and Vezzosi introduced the notion of shifted symplectic structure on derived stacks. Later PTVV+Calaque further introduced the shifted Poisson structure. In this talk, I will present my recent work joint with Alexander Polishchuk. We prove that the moduli space of complexes of vector bundles (up to chain isomorphisms) on CY d-fold carries a (1-d)-shifted Poisson structure. This generalises various interesting Poisson structures in algebraic geometry and integrable systems. Finally, I will explain how to use our theorem to classify the symplectic leaves of elliptic deformation of Hilbert scheme of points on P^2.
Persistent Identifierhttp://hdl.handle.net/10722/252400

 

DC FieldValueLanguage
dc.contributor.authorHua, Z-
dc.date.accessioned2018-04-19T09:56:31Z-
dc.date.available2018-04-19T09:56:31Z-
dc.date.issued2017-
dc.identifier.citationMathematics and Superstring Theory -Unlocking the Mysteries of the Accelerating Universe through Superstring Theory and Astrophysical Observations, IPMU University of Tokyo, Tokyo, Japan, 21-23 March 2017-
dc.identifier.urihttp://hdl.handle.net/10722/252400-
dc.description.abstractIn their seminal paper, Pantev, Toen, Vaquie and Vezzosi introduced the notion of shifted symplectic structure on derived stacks. Later PTVV+Calaque further introduced the shifted Poisson structure. In this talk, I will present my recent work joint with Alexander Polishchuk. We prove that the moduli space of complexes of vector bundles (up to chain isomorphisms) on CY d-fold carries a (1-d)-shifted Poisson structure. This generalises various interesting Poisson structures in algebraic geometry and integrable systems. Finally, I will explain how to use our theorem to classify the symplectic leaves of elliptic deformation of Hilbert scheme of points on P^2.-
dc.languageeng-
dc.relation.ispartofMathematics and Superstring Theory -Unlocking the Mysteries of the Accelerating Universe through Superstring Theory and Astrophysical Observations-
dc.titleShifted Poisson structures and elliptic deformations -
dc.typeConference_Paper-
dc.identifier.emailHua, Z: huazheng@hku.hk-
dc.identifier.authorityHua, Z=rp01790-
dc.identifier.hkuros282747-

Export via OAI-PMH Interface in XML Formats

OR

Export to Other Non-XML Formats