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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.03033 |
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| _version_ | 1866911101714694144 |
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| author | Taylor, Jeremy |
| author_facet | Taylor, Jeremy |
| contents | We construct the universal monodromic big tilting sheaf on base affine space and calculate its endomorphisms. By formal completion, we recover Soergel's pro-unipotent Endomorphismensatz with arbitrary field coefficients. We give a Soergel bimodules description of the universal monodromic Hecke category and deduce a conjecture of Eberhardt that uncompletes Koszul duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_03033 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universal monodromic tilting sheaves Taylor, Jeremy Representation Theory We construct the universal monodromic big tilting sheaf on base affine space and calculate its endomorphisms. By formal completion, we recover Soergel's pro-unipotent Endomorphismensatz with arbitrary field coefficients. We give a Soergel bimodules description of the universal monodromic Hecke category and deduce a conjecture of Eberhardt that uncompletes Koszul duality. |
| title | Universal monodromic tilting sheaves |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2305.03033 |