On the boundedness of Calabi-Yau varieties in low dimension
Event details
Date | 03.09.2018 |
Hour | 14:00 › 15:00 |
Speaker | Roberto Svaldi (University of Cambridge) |
Location | |
Category | Conferences - Seminars |
I will discuss new results towards the birational boundedness of low-dimensional elliptic Calabi-Yau varieties, joint work with Gabriele Di Cerbo.
Recent work in the minimal model program suggests that pairs with trivial log canonical class should satisfy some boundedness properties.
I will show that 4-dimensional Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded. This implies birational boundedness of elliptically fibered Calabi-Yau manifolds with a section, in dimension up to 5.
If time allows, I will also try to discuss a first approach towards boundedness of rationally connected CY varieties in low dimension (joint with G. Di Cerbo, W. Chen, J. Han and, C. Jiang).
Practical information
- Informed public
- Free
Organizer
- Zsolt Patakfalvi
Contact
- Monique Kiener