The purpose of the 1992 AMS Summer Research Institute was to provide the research community with both a broad overview of the tools from algebraic geometry and K -theory that proved to be the most powerful in solving problems in the theory of quadratic forms and division algebras, as well as provide a forum for exposition of recent research. The three week institute had six week-long speakers three in K -theory and three in algebraic geometry. A substantial portion of their lectures are reproduced in their expository articles in this two-part volume. In addition, the institute had a series of individual research lectures, many of which are included here. The volumes are available individually the expository lectures in Pt.1 (0339-5, $69) and the research lectures in Pt.2 (0340-9, $89). No index. Annotation copyright Book News, Inc. Portland, Or.
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