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arXiv · 1908.08770

Hopf-theoretic approach to motives of twisted flag varieties

Victor Petrov·Nikita Semenov
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Abstract

Let $G$ be a split semisimple algebraic group over a field and let $A^*$ be an oriented cohomology theory in the sense of Levine--Morel. We provide a uniform approach to the $A^*$-motives of geometrically cellular smooth projective $G$-varieties based on the Hopf algebra structure of $A^*(G)$. Using this approach we provide various applications to the structure of motives of twisted flag varieties.

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Victor Petrov, Nikita Semenov. 2019-08-23. Hopf-theoretic approach to motives of twisted flag varieties. https://doi.org/10.1112/s0010437x2100703x

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