Pure Maths Colloquium: Homolgy decompositions and applications
21 November 2005 16:00 in CM221
"A homolgy decomposition is a way to build a space out of 'simpler' space. A CW -complexes is given an iterated building process based on spheres and disc's where as the gluing data for homology decompositions is encoded in a functor defined on a 'nice' category with values in the category of topological spaces, and where all simpler spaces are glued together in one step. Homology decompositions are one of the major tools to understand the homotopy theory of classifying spaces. We will apply these ideas in several much more algebraic contexts, Stanley-Reisner algebras associated to simplicail complexes, invariant theory and group cohomology."
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