The topological Breuil-Mézard conjecture for classical groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911125184970752 |
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| author | Lin, Zhongyipan |
| author_facet | Lin, Zhongyipan |
| contents | For unitary, orthogonal and symplectic groups, we compute the dimension of the reduced Emerton-Gee stacks, and give an explicit description of their top-dimensional Chow group. Our results are unconditional when $p\neq 2$.
The main innovation is a new method for analyzing the vanishing locus of Galois cup products valued in high dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19722 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The topological Breuil-Mézard conjecture for classical groups Lin, Zhongyipan Number Theory 11S20 For unitary, orthogonal and symplectic groups, we compute the dimension of the reduced Emerton-Gee stacks, and give an explicit description of their top-dimensional Chow group. Our results are unconditional when $p\neq 2$. The main innovation is a new method for analyzing the vanishing locus of Galois cup products valued in high dimensions. |
| title | The topological Breuil-Mézard conjecture for classical groups |
| topic | Number Theory 11S20 |
| url | https://arxiv.org/abs/2508.19722 |