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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2207.05235 |
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| _version_ | 1866912217936429056 |
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| author | Caraiani, Ana Emerton, Matthew Gee, Toby Savitt, David |
| author_facet | Caraiani, Ana Emerton, Matthew Gee, Toby Savitt, David |
| contents | We establish a geometrisation of the Breuil-Mézard conjecture for potentially Barsotti-Tate representations, as well as of the weight part of Serre's conjecture, for moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_05235 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The geometric Breuil-Mézard conjecture for two-dimensional potentially Barsotti-Tate Galois representations Caraiani, Ana Emerton, Matthew Gee, Toby Savitt, David Number Theory We establish a geometrisation of the Breuil-Mézard conjecture for potentially Barsotti-Tate representations, as well as of the weight part of Serre's conjecture, for moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field. |
| title | The geometric Breuil-Mézard conjecture for two-dimensional potentially Barsotti-Tate Galois representations |
| topic | Number Theory |
| url | https://arxiv.org/abs/2207.05235 |