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arXiv · 1406.5609

Cohomological invariants of algebraic groups and the Morava K-theory

Nikita Semenov
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Abstract

In the present article we discuss different approaches to cohomological invariants of algebraic groups over a field. We focus on the Tits algebras and on the Rost invariant and relate them to the Morava K-theory. Furthermore, we discuss oriented cohomology theories of affine varieties and the Rost motives for different cohomology theories in the sense of Levine-Morel.

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Nikita Semenov. 2014-06-21. Cohomological invariants of algebraic groups and the Morava K-theory. https://arxiv.org/abs/1406.5609

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