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Topics discussed at the workshop Quadratic forms and linear algebraic groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties, as well as some arithmetic aspects pertaining to the theory of quadratic forms over function ﬁelds over local ﬁelds.
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Alexander Merkurjev, Detlev Hoffmann, Jean-Pierre Tignol, Quadratic Forms and Linear Algebraic Groups. Oberwolfach Rep. 6 (2009), no. 2, pp. 1375–1426