


Homotopy theory of 2categories



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 2categories, so we can think of small 2categories 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 2categories. This was joint work with Antonio M. Cegarra and M. CalvoCervera.

Date: 
20151215

Start Time: 
14:30 
Speaker: 
Benjamín Alarcón Heredia (CMA, FCTUNL)

Institution: 
CMA, FCTUNL

Place: 
Sala 5.5

Research Groups: 
Algebra, Logic and Topology

See more:

<Main>










