BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Quadratic forms and Brauer groups Parimala, Raman


The Clifford algebras provide a connection between the study of quadratic forms and the Brauer group. We explain how a bound for the u-invariant of a field can be given purely in terms of certain period-index bounds for the Brauer group. We survey some progress in finding such bounds for function fields of p-adic curves. There are open questions in this direction for function fields of curves over number fields.

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