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Article #113Weight filtrations in algebraic K-theory
From: dan Daniel R. Grayson
Date: Sun, 08 Nov 1992 19:46
Date: Sun, 08 Nov 1992 19:46
18 lines
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1661 bytes
I've made my preprint entitled "Weight filtrations in algebraic K-theory"
available for anonymous ftp in
math.uiuc.edu:~ftp/pub/papers/grayson/seattle.{tex,dvi}
This is an expository paper which was delivered at the Motives conference at
University of Washington in 1991, and is now in final form. Here is the
first paragraph of the introduction.
The recent search for a motivic cohomology theory for varieties,
described elsewhere in this volume, has been largely guided by certain
aspects of the higher algebraic K-theory developed by Quillen in 1972.
It is the purpose of this article to explain the sense in which the
previous statement is true, and to explain how it is thought that the
motivic cohomology groups with rational coefficients arise from
K-theory through the intervention of the Adams operations. We give a
basic description of algebraic K-theory and explain how Quillen's idea
that the Atiyah-Hirzebruch spectral sequence of topology may have an
algebraic analogue guides the search for motivic cohomology.
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Newsgroups: sci.math.research Path: arc1-ca.pugleaf.net!sparky!uunet!think.com!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenet From: dan (Daniel R. Grayson) Subject: Weight filtrations in algebraic K-theory Message-ID: <9211081946.AA27228@uiucmath.math.uiuc.edu> Sender: Daniel Grayson <dan@math.uiuc.edu> Reply-To: dan@math.uiuc.edu X-Submissions-To: sci-math-research@uiuc.edu Organization: University of Illinois at Urbana X-Administrivia-To: sci-math-research-request@uiuc.edu Approved: Daniel Grayson <dan@math.uiuc.edu> Date: Sun, 8 Nov 1992 19:46:19 GMT Lines: 20