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Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
8
votes
equivalence of quadratic forms over finitely generated fields
By "Hasse invariant" I suppose you mean a 2-torsion class in the Brauer group (which can be further analyzed via local Brauer groups, but that step is specific to global fields). And by "signature" yo …