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Conference Paper: Contraction algebra, deformation and singularities
| Title | Contraction algebra, deformation and singularities |
|---|---|
| Authors | |
| Issue Date | 2017 |
| Citation | Geometry Seminar, East China Normal University, Shanghai, China, 19 December 2017 How to Cite? |
| Abstract | I will survey the recent progress on a new approach to the classification of 3d flopping contraction via noncommutative algebra. Parts of the talk is based on the joint work with Yukinobu Toda (1601.04881) and 1610.05467.
Contraction algebra was first defined by Donovan and Wemyss for three dimensional flopping contraction. It is a (in general) noncommutative algebra representing the non-commutative deformation functor of the flopping curve in a 3-fold. This algebra builds deep relation between singularity theory of Gorenstein 3-folds, group of auto-equivalences of CY 3-folds and enumerative geometry of Gopakumar-Vafa invariants. It is expected that three dimensional Gorenstein singularities that admits crepant resolutions can be classified explicitly via contraction algebras. |
| Persistent Identifier | http://hdl.handle.net/10722/270465 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hua, Z | - |
| dc.date.accessioned | 2019-05-29T01:30:09Z | - |
| dc.date.available | 2019-05-29T01:30:09Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | Geometry Seminar, East China Normal University, Shanghai, China, 19 December 2017 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/270465 | - |
| dc.description.abstract | I will survey the recent progress on a new approach to the classification of 3d flopping contraction via noncommutative algebra. Parts of the talk is based on the joint work with Yukinobu Toda (1601.04881) and 1610.05467. Contraction algebra was first defined by Donovan and Wemyss for three dimensional flopping contraction. It is a (in general) noncommutative algebra representing the non-commutative deformation functor of the flopping curve in a 3-fold. This algebra builds deep relation between singularity theory of Gorenstein 3-folds, group of auto-equivalences of CY 3-folds and enumerative geometry of Gopakumar-Vafa invariants. It is expected that three dimensional Gorenstein singularities that admits crepant resolutions can be classified explicitly via contraction algebras. | - |
| dc.language | eng | - |
| dc.relation.ispartof | East China Normal University, Geometry Seminar | - |
| dc.title | Contraction algebra, deformation and singularities | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
| dc.identifier.authority | Hua, Z=rp01790 | - |
| dc.identifier.hkuros | 289664 | - |