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Description: |
The category of small categories has a Thomason model structure making its homotopy category equivalent to the classical homotopy category of topological spaces. The same is true for small 2-categories, so we can think of small 2-categories as spaces. In this talk I will present the different ways in which this can be done, and how to study certain homotopy constructions applied to these spaces in a purely categorical way. More precisely, I will present generalizations of the homotopy colimit theorem of Thomason and of theorems A and B of Quillen for 2-categories.
This was joint work with Antonio M. Cegarra and M. Calvo-Cervera.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Benjamín Alarcón Heredia (CMA, FCT-UNL)
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Institution: |
CMA, FCT-UNL
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Place: |
Sala 5.5
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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