Morava K-theory of orthogonal groups and motives of projective quadrics
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866913298855755776 |
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| author | Geldhauser, Nikita Lavrenov, Andrei Petrov, Victor Sechin, Pavel |
| author_facet | Geldhauser, Nikita Lavrenov, Andrei Petrov, Victor Sechin, Pavel |
| contents | We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of special orthogonal and spin groups. Besides, we apply these results to study Morava motivic decompositions of orthogonal Grassmannians. For instance, we determine all indecomposable summands of the Morava motives of a generic quadric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_14720 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Morava K-theory of orthogonal groups and motives of projective quadrics Geldhauser, Nikita Lavrenov, Andrei Petrov, Victor Sechin, Pavel K-Theory and Homology 20G15 We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of special orthogonal and spin groups. Besides, we apply these results to study Morava motivic decompositions of orthogonal Grassmannians. For instance, we determine all indecomposable summands of the Morava motives of a generic quadric. |
| title | Morava K-theory of orthogonal groups and motives of projective quadrics |
| topic | K-Theory and Homology 20G15 |
| url | https://arxiv.org/abs/2011.14720 |