BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Hasse principle for Rost motives Zhykhovich, Maksim


We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric $Q$ over a number field $F$. Besides, we show that such summands are twists of Rost motives. In the case when $F$ has at most one real embedding we describe a complete motivic decomposition of $Q$. This is a joint work with M. Borovoi and N. Semenov.

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