Abstract
This 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.
The author was partially supported by NSF grant DMS-1001872.
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Parimala, R. (2013). Some Aspects of the Algebraic Theory of Quadratic Forms. In: Alladi, K., Bhargava, M., Savitt, D., Tiep, P. (eds) Quadratic and Higher Degree Forms. Developments in Mathematics, vol 31. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7488-3_7
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