Around Nori's motives and the motivic fundamental group
Event details
| Date | 10.10.2013 |
| Hour | 15:30 › 16:30 |
| Speaker | Peter Jossen (EPFL) |
| Location | |
| Category | Conferences - Seminars |
Let $S$ be a smooth connected variety over a subfield of $\mathbb C$. Using ideas of Nori's, I will explain how to construct a neutral tannakian category of smooth motives over $S$. Its tannakian fundamental group (with respect to a base point) is the motivic fundamental group of $S$. There is a homotopy exact sequence whose profinite completion is, conjecturally, the homotopy exact sequence for \'etale fundamental groups. I will then show how the existence of a direct image functor for Nori's motives can be used in order to compare the relative fundamental group with the topological fundamental group.
Practical information
- Informed public
- Free
Contact
- Monique Kiener