Functions on the commuting stack via Langlands duality
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929312756662272 |
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| author | Li, Penghui Nadler, David Yun, Zhiwei |
| author_facet | Li, Penghui Nadler, David Yun, Zhiwei |
| contents | We calculate the dg algebra of global functions on commuting stacks of complex reductive groups using tools from Betti Geometric Langlands. In particular, we prove that the ring of invariant functions on the commuting scheme is reduced. Our main technical results include: a semi-orthogonal decomposition of the cocenter of the affine Hecke category; and the calculation of endomorphisms of a Whittaker sheaf in a diagram organizing parabolic induction of character sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02618 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Functions on the commuting stack via Langlands duality Li, Penghui Nadler, David Yun, Zhiwei Representation Theory Algebraic Geometry We calculate the dg algebra of global functions on commuting stacks of complex reductive groups using tools from Betti Geometric Langlands. In particular, we prove that the ring of invariant functions on the commuting scheme is reduced. Our main technical results include: a semi-orthogonal decomposition of the cocenter of the affine Hecke category; and the calculation of endomorphisms of a Whittaker sheaf in a diagram organizing parabolic induction of character sheaves. |
| title | Functions on the commuting stack via Langlands duality |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2301.02618 |