A motivic DT/PT correspondence
Event details
| Date | 03.05.2022 |
| Hour | 13:15 › 15:00 |
| Speaker | Andrea Ricolfi (Università di Bologna) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Donaldson-Thomas invariants of a Calabi-Yau 3-fold Y are related to Pandharipande-Thomas invariants via a wall-crossing formula known as the DT/PT correspondence, proved by Bridgeland and Toda. The same relation holds for the “local invariants”, those encoding the contribution of a fixed smooth curve in Y. We show how to lift the local DT/PT correspondence to the motivic level, proving an explicit formula for the local motivic DT invariants; we do so by exploiting the critical structure on certain Quot schemes acting as our local models. Joint work with Ben Davison.
Practical information
- Informed public
- Free
Organizer
- Francesca Carrocci
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)