Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Quadratic forms, diagonalization, Witt’s cancellation theorem.
- Witt rings and their presentations, classification of small Witt rings.
- Norm forms of quaternion algebras, Discriminant and Clifford invariants
of quadratic forms.
- Quadratic forms under algebraic extensions.
- Quadratic forms under transcendental extensions, Cassels-Pfister Theorem, Milnor’s exact sequence.
- Pfister forms and function fields.
- Numerical invariants : level, Pythagoras number, u-invariant.
- T. Y. Lam, Introduction to Quadratic Forms over Fields, American Math-ematical Society, 2004.
- Richard Elman, Nikita Karpenko, Alexander Merkurjev, The Algebraic and Geometric Theory of Quadratic Forms, American Mathematical Society (Colloquium Publications), 2011.
- Winfried Scharlau, Quadratic and Hermitian Forms, Grundlehren der mathematischen Wissenschaften 270, Springer-Verlag, 1985.
