Abstract

AbstractThis article, based on the lectures at the Arizona Winter School on “Quadratic forms”, gives a quick introduction to the algebraic theory of quadratic forms. It discusses some invariants associated to quadratic forms like the Pythagoras number and the u-invariant and touches on some recent progress on these topics.Key words and PhrasesQuadratic formsGalois cohomologyInvariantsNumber fieldsFunction fieldsMathematics Subject Classification (2010):11E81, 14G27

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