Formality of ordinary and twisted de Rham complex from derived algebraic geometry
Event details
| Date | 25.10.2012 |
| Hour | 15:15 › 17:00 |
| Speaker | Andrei Caldararu, University of Wisconsin, Madison |
| Location | |
| Category | Conferences - Seminars |
Beautiful results of Deligne-Illusie, Sabbah, and Ogus-Vologodsky show that certain modifications of the de Rham complex (either the usual one, or twisted versions of it that appear in the study of the cyclic homology of categories of matrix factorizations) are formal in positive characteristic. These are the crucial steps in proving algebraic analogues of the Hodge theorem (again, either in the ordinary setting or in the presence of a twisting). I will present these results along with a new approach to understanding them using derived intersection theory. This is joint work with Dima Arinkin and Marton Hablicsek.
Practical information
- General public
- Free
Organizer
- Tamas Hausel
Contact
- tamas.hausel@epfl.ch