Manchester Geometry Seminar 2003/2004


20 May 2004. Room 1.08, Mathematics Building, University of Manchester. 4pm

On the Algebraic K-Theory of the Category of Unstable Modules over the Steenrod Algebra

Frank Neumann (University of Leicester)


fn8@mcs.le.ac.uk

Using the Gabriel-Krull filtration, we construct a spectral sequence of homological type converging to the algebraic K-theory of the noetherian objects in the category of unstable modules over the Steedrod algebra. This is in direct analogy with the Brown-Gersten-Quillen spectral sequence converging to the algebraic K-theory of a noetherian scheme via the codimension of support filtration.


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