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Conference Paper: Noncommutative Mather-Yau theorem and its applications
| Title | Noncommutative Mather-Yau theorem and its applications |
|---|---|
| Authors | |
| Issue Date | 2018 |
| Citation | Algebra and Algebraic Geometry Seminar, The University of British Columbia (UBC), Vancouver, BC , Canada, 20 August 2018 How to Cite? |
| Abstract | We prove that the right equivalence class of a super potential in complete free algebra is determined by its Jacobi algebra and the canonical class in its 0-th Hochschild homology represented by the super potential, assuming the Jacobi algebra is finite dimensional. This is a noncommutative version of the famous Mather-Yau theorem in isolated hyper surface singularities. As a consequence, we prove a rigidity theorem for Ginzburg dg-algebra. I will discuss some applications of these results in three dimensional birational geometry. This is a joint work with Guisong Zhou 1803.06128. |
| Persistent Identifier | http://hdl.handle.net/10722/270468 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hua, Z | - |
| dc.date.accessioned | 2019-05-29T02:16:31Z | - |
| dc.date.available | 2019-05-29T02:16:31Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Algebra and Algebraic Geometry Seminar, The University of British Columbia (UBC), Vancouver, BC , Canada, 20 August 2018 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/270468 | - |
| dc.description.abstract | We prove that the right equivalence class of a super potential in complete free algebra is determined by its Jacobi algebra and the canonical class in its 0-th Hochschild homology represented by the super potential, assuming the Jacobi algebra is finite dimensional. This is a noncommutative version of the famous Mather-Yau theorem in isolated hyper surface singularities. As a consequence, we prove a rigidity theorem for Ginzburg dg-algebra. I will discuss some applications of these results in three dimensional birational geometry. This is a joint work with Guisong Zhou 1803.06128. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Algebraic geometry seminar at University of British Columbia (UBC) | - |
| dc.title | Noncommutative Mather-Yau theorem and its applications | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
| dc.identifier.authority | Hua, Z=rp01790 | - |
| dc.identifier.hkuros | 289669 | - |