Syzygies of the cotangent complex
Event details
| Date | 02.05.2023 |
| Hour | 15:15 › 17:00 |
| Speaker | Ben Briggs, University of Copenhagen |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
The cotangent complex is an important but difficult to understand object associated to a map of commutative rings (or schemes). It is connected with some easier to compute invariants: the module of differential forms, the conormal module, and Koszul homology can all be seen as syzygies inside the cotangent complex. Quillen conjectured that, for maps of finite flat dimension, the cotangent complex can only be bounded for locally complete intersection homomorphisms. This was proven by Avramov in 1999. I will explain how to get a new proof by paying attention to these syzygies, and how to simultaneously prove a conjecture of Vasconcelos on the conormal module.
Practical information
- Informed public
- Free
Organizer
- Leonid Monin
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)