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| FIELD | Math:Geometry |
|---|---|
| DATE | December 02 (Thu), 2021 |
| TIME | 09:30-10:30 |
| PLACE | Online |
| SPEAKER | Amin Gholampour |
| HOST | Kim, Bumsig |
| INSTITUTE | University of Maryland |
| TITLE | 2-dimensional stable pairs on 4-folds |
| ABSTRACT | I will discuss a 2-dimensional stable pair theory of nonsingular complex 4-folds parallel to Pandharipande-Thomas' 1-dimensional stable pair theory of 3-folds. The stable pairs of a 4-fold are related to its 2-dimensional subschemes via wall-crossings in the space of polynomial stability conditions. In Calabi-Yau case, Oh-Thomas theory is applied to define invariants counting these stable pairs under some restrains. This is a joint work with Yunfeng Jiang and Jason Lo. |
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