Pursuing the Farrell-Jones conjecture

Frank Quinn (Virginia Tech)

Wednesday 25th June, 2008 16:00-17:00 214

Abstract

The Farrell-Jones conjecture for algebraic K-theory asserts that K- theory of a group ring is assembled from K-theory of virtually cyclic subgroups and homology of a "moduli space" of such subgroups. Sophisticated instances so far have required epsilon controlled algebra, controlled transfers, and nice compact spaces on which the group acts. There seems to be progress in getting all this to work in general, but with some surprises. For instance the methods seem much less dependent on the large-scale geometry of the group than had been expected.

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