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Conference Paper: Shifted poisson structure and moduli space of complexes
Title | Shifted poisson structure and moduli space of complexes |
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Other Titles | Shifted Poisson structure and elliptic deformation |
Authors | |
Issue Date | 2017 |
Publisher | 中國科學院. |
Citation | 首届全国代数几何会议, 中国, 北京, 2017年7月3-7日 How to Cite? |
Abstract | There are two sources of examples of high dimensional Poisson varieties in algebraic geometry. The first class of examples appear as moduli spaces of sheaves on Poisson surface (whose Poisson structure is constructed by Mukai and Bottacin). The second class comes from finite dimensional sub varieties of loop algebras. with Poisson structure given by solutions of classical Yang-Baxter equation. In this talk, I will explain how these two very different constructions can be unified via Shifted Poisson structure (defined by Calaque-Pantev-Toen-Vaquie-Vezzosi). As an application, we obtain classification of the symplectic leaves for a large class of Poisson structures associated to elliptic curves. This is a joint work with Alexander Polishchuk. |
Description | 主办单位:中国科学院数学与系统科学研究院 |
Persistent Identifier | http://hdl.handle.net/10722/252404 |
DC Field | Value | Language |
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dc.contributor.author | Hua, Z | - |
dc.date.accessioned | 2018-04-20T02:42:57Z | - |
dc.date.available | 2018-04-20T02:42:57Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | 首届全国代数几何会议, 中国, 北京, 2017年7月3-7日 | - |
dc.identifier.uri | http://hdl.handle.net/10722/252404 | - |
dc.description | 主办单位:中国科学院数学与系统科学研究院 | - |
dc.description.abstract | There are two sources of examples of high dimensional Poisson varieties in algebraic geometry. The first class of examples appear as moduli spaces of sheaves on Poisson surface (whose Poisson structure is constructed by Mukai and Bottacin). The second class comes from finite dimensional sub varieties of loop algebras. with Poisson structure given by solutions of classical Yang-Baxter equation. In this talk, I will explain how these two very different constructions can be unified via Shifted Poisson structure (defined by Calaque-Pantev-Toen-Vaquie-Vezzosi). As an application, we obtain classification of the symplectic leaves for a large class of Poisson structures associated to elliptic curves. This is a joint work with Alexander Polishchuk. | - |
dc.language | eng | - |
dc.publisher | 中國科學院. | - |
dc.relation.ispartof | 首届全国代数几何会议 | - |
dc.title | Shifted poisson structure and moduli space of complexes | - |
dc.title.alternative | Shifted Poisson structure and elliptic deformation | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
dc.identifier.authority | Hua, Z=rp01790 | - |
dc.identifier.hkuros | 282750 | - |
dc.publisher.place | Beijing | - |