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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/2207.05237 |
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| _version_ | 1866910440880078848 |
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| author | Caraiani, Ana Emerton, Matthew Gee, Toby Savitt, David |
| author_facet | Caraiani, Ana Emerton, Matthew Gee, Toby Savitt, David |
| contents | In a previous article we introduced various moduli stacks of two-dimensional tamely potentially Barsotti-Tate representations of the absolute Galois group of a p-adic local field, as well as related moduli stacks of Breuil-Kisin modules with descent data. We study the irreducible components of these stacks, establishing in particular that the components of the former are naturally indexed by certain Serre weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_05237 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Components of moduli stacks of two-dimensional Galois representations Caraiani, Ana Emerton, Matthew Gee, Toby Savitt, David Number Theory In a previous article we introduced various moduli stacks of two-dimensional tamely potentially Barsotti-Tate representations of the absolute Galois group of a p-adic local field, as well as related moduli stacks of Breuil-Kisin modules with descent data. We study the irreducible components of these stacks, establishing in particular that the components of the former are naturally indexed by certain Serre weights. |
| title | Components of moduli stacks of two-dimensional Galois representations |
| topic | Number Theory |
| url | https://arxiv.org/abs/2207.05237 |