Perversity of coinvariants of affine Springer sheaves
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909658824835072 |
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| author | Bouthier, Alexis Kazhdan, David Varshavsky, Yakov |
| author_facet | Bouthier, Alexis Kazhdan, David Varshavsky, Yakov |
| contents | Using techniques of [BKV], we construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the regular-semisimple bounded locus of the loop group LG and prove that the derived $τ$-coinvariants of affine Grothendieck--Springer sheaves are perverse. Our main new ingredient is a theorem of Yun on compatibility of actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perversity of coinvariants of affine Springer sheaves Bouthier, Alexis Kazhdan, David Varshavsky, Yakov Algebraic Geometry Representation Theory Using techniques of [BKV], we construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the regular-semisimple bounded locus of the loop group LG and prove that the derived $τ$-coinvariants of affine Grothendieck--Springer sheaves are perverse. Our main new ingredient is a theorem of Yun on compatibility of actions. |
| title | Perversity of coinvariants of affine Springer sheaves |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2506.19390 |