Intersection cohomology for the moduli of sheaves and Gopakumar-Vafa theory
Event details
| Date | 11.05.2021 |
| Hour | 16:00 › 17:30 |
| Speaker | Junliang Shen (MIT) |
| Location | Online |
| Category | Conferences - Seminars |
We explore some surprising symmetries for intersection cohomology of certain moduli of 1-dimensional sheaves and moduli of Higgs bundles, motivated by Gopakumar-Vafa theory concerning enumerative geometry for Calabi-Yau 3-folds. More precisely, we show that, for these moduli spaces, the intersection cohomology is independent of the choice of the Euler characteristic. This confirms a conjecture of Bousseau for P^2, and proves a conjecture of Toda in the case of local toric Calabi-Yau 3-folds. In the proof, a generalized version of Ngô's support theorem refining the decomposition theorem plays a crucial role. Based on joint work with Davesh Maulik.
Practical information
- Informed public
- Free
Organizer
- Dimitri Wyss
Contact
- Monique Kiener (Veuillez demander le mot de passe si vous êtes intéressé(e)s)