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| FIELD | Mathematics |
|---|---|
| DATE | December 15 (Tue), 2020 |
| TIME | 10:30-11:30 |
| PLACE | Online |
| SPEAKER | Cao, Yalong |
| HOST | Oh, Jeongseok |
| INSTITUTE | Kavli IPMU, The University of Tokyo |
| TITLE | Gopakumar-Vafa type invariants for Calabi-Yau 4-folds |
| ABSTRACT | Gopakumar-Vafa type invariants on Calabi-Yau 4-folds (which are non-trivial only for genus zero and one) are defined by Klemm-Pandharipande from Gromov-Witten theory, and their integrality is conjectured. In this talk, I will explain how to give a sheaf theoretical interpretation of them using counting invariants on moduli spaces of one dimensional stable sheaves. Based on joint works with D. Maulik and Y. Toda. |
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