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Hélène Barcelo
(Arizona State University)
Friday 15th April, 12.05-12.55pm, Carslaw 275
A discrete homotopy theory for graphs and its
relation to subspace arrangements
We present the construction of a bigraded family of groups
(A-groups) associated to graphs, and simplicial complexes.
This theory resembles classical homotopy theory of spaces and
satisfies many of the same properties. However, it depends
heavily on the combinatorial structure of the objects; for
instance, it is not invariant under subdivisions of simplicial
complexes. We will discuss the connections between the
A-groups associated to the order complex of the Boolean lattice
and the classical homotopy groups of the complement of the k-equal
arrangements.
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