Mixed modular perverse sheaves on affine flag varieties and Koszul duality
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914034448596992 |
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| author | Riche, Simon |
| author_facet | Riche, Simon |
| contents | Under some technical assumptions, and building on joint work with Bezrukavnikov, we prove a multiplicity formula for indecomposable tilting perverse sheaves on affine flag varieties, with coefficients in a field of characteristic $p$, in terms of $p$-Kazhdan--Lusztig polynomials. Under the same assumptions, we also explain the construction of a "degrading functor" relating mixed modular perverse sheaves (as defined in joint work with Achar) on such varieties to ordinary perverse sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixed modular perverse sheaves on affine flag varieties and Koszul duality Riche, Simon Representation Theory Under some technical assumptions, and building on joint work with Bezrukavnikov, we prove a multiplicity formula for indecomposable tilting perverse sheaves on affine flag varieties, with coefficients in a field of characteristic $p$, in terms of $p$-Kazhdan--Lusztig polynomials. Under the same assumptions, we also explain the construction of a "degrading functor" relating mixed modular perverse sheaves (as defined in joint work with Achar) on such varieties to ordinary perverse sheaves. |
| title | Mixed modular perverse sheaves on affine flag varieties and Koszul duality |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2411.01869 |