Quillen model structures on combinatorial categories
Event details
| Date | 22.03.2013 |
| Hour | 14:15 › 15:30 |
| Speaker | Jean-Marie Droz (Bremen) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
Various Quillen model structures can be constructed on categories of combinatorial objects. We will show that classical graph theoretical notions, like the core of a graph and the set of connected components, are notions of homotopy types in specific Quillen model structures. However, we will also demonstrate that, often, what could be regarded as natural candidates for homotopy types in a category of graphs cannot arise from a model structure. Finally, we will consider the classification of all model structures on simple categories of combinatorial objects and count the model structures on a category of finite graphs.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess