Speaker
Andrés Carnero Bravo
(Centro de Ciencias Matemáticas, UNAM)
Description
The independence complex of a graph is the simplicial complex with independent sets as simplices. This complex is one of the most studied graph complexes, but to determine its homotopy type is not an easy task even for highly symmetric graphs. In this talk we will focus in the independence complexes of graph products, we will talk about for which families of categorical, strong and lexicographic products it is known the homotopy of type. We particularly focus in the lexicographic product which is related to the spaces known as polyhedral joins and we will give a homotopy decomposition for the suspension of these spaces under some conditions.
Primary author
Andrés Carnero Bravo
(Centro de Ciencias Matemáticas, UNAM)
