Monday, October 18 | |
Geometry and Topology
Time: 15:30
Speaker: Rick Jardine (Western) Title: "Dynamical systems and diagrams" Room: MC 107 Abstract: A dynamical system is a map of spaces X×S→X, and a map of dynamical systems X→Y over S is an S-equivariant map. There is both an injective and a projective model structure for this category. These model structures are special cases of injective and projective model structures for space-valued diagrams X defined on a fixed category A enriched in simplicial sets. Simultaneously varying the parameter category A (or parameter space S) along with the diagrams X up to weak equivalence is more interesting, and requires new model structures for A-diagrams having weak equivalences defined by homotopy colimits, as well as a generalization of Thomason's model structure for small categories to a model structure for simplicial categories. | |
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