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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2504.03341 |
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| _version_ | 1866911558974570496 |
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| author | Zabeth, Emilien |
| author_facet | Zabeth, Emilien |
| contents | We study a category of Iwahori-equivariant modular perverse sheaves on some avatar of the semi-infinite flag variety, by adapting the work of Arkhipov-Bezrukavnikov-Braverman-Gaitsgory-Mirković. We then construct a functor between the latter category and the category of graded representations of the Frobenius kernel, and conjecture that this functor is an equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perverse sheaves on the semi-infinite flag variety and representations of the Frobenius kernel Zabeth, Emilien Representation Theory We study a category of Iwahori-equivariant modular perverse sheaves on some avatar of the semi-infinite flag variety, by adapting the work of Arkhipov-Bezrukavnikov-Braverman-Gaitsgory-Mirković. We then construct a functor between the latter category and the category of graded representations of the Frobenius kernel, and conjecture that this functor is an equivalence. |
| title | Perverse sheaves on the semi-infinite flag variety and representations of the Frobenius kernel |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2504.03341 |