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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.05297 |
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| _version_ | 1866915009701871616 |
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| author | Bogdanova, Ekaterina |
| author_facet | Bogdanova, Ekaterina |
| contents | We define the stack of $G$-local systems with restricted variation on the formal puntured disc and study its properties. We embed sheaves of categories over this stack into the category of factorization module categories over $\operatorname{Rep}(G)$. Along the way we develop a theory of factorization structures in families and study functorialities of such under changes of the base curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05297 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local systems with restricted variation on the formal punctured disc via factorization Bogdanova, Ekaterina Algebraic Geometry Representation Theory We define the stack of $G$-local systems with restricted variation on the formal puntured disc and study its properties. We embed sheaves of categories over this stack into the category of factorization module categories over $\operatorname{Rep}(G)$. Along the way we develop a theory of factorization structures in families and study functorialities of such under changes of the base curve. |
| title | Local systems with restricted variation on the formal punctured disc via factorization |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2411.05297 |