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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/2205.03558 |
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| _version_ | 1866911777117175808 |
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| author | Abdellatif, Ramla Pisolkar, Supriya Rougnant, Marine Thomas, Lara |
| author_facet | Abdellatif, Ramla Pisolkar, Supriya Rougnant, Marine Thomas, Lara |
| contents | Fontaine-Mazur Conjecture is one of the core statements in modern arithmetic geometry. Several formulations were given since its original statement in 1993, and various angles have been adopted by numerous authors to try to tackle it. Boston's seminal paper in 1992 gave a range of purely group-theoretic methods rather than representation-theoretic ones to prove some special cases of this conjecture. Such methods have been later successfully carried on by Maire and his co-authors, and brings different informations on the objects involved in the conjecture. This survey article aims to review what is known in this direction and to present some interesting related questions the authors work on. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03558 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey Abdellatif, Ramla Pisolkar, Supriya Rougnant, Marine Thomas, Lara Number Theory 11S15, 11S20, 11S25, 11S31 Fontaine-Mazur Conjecture is one of the core statements in modern arithmetic geometry. Several formulations were given since its original statement in 1993, and various angles have been adopted by numerous authors to try to tackle it. Boston's seminal paper in 1992 gave a range of purely group-theoretic methods rather than representation-theoretic ones to prove some special cases of this conjecture. Such methods have been later successfully carried on by Maire and his co-authors, and brings different informations on the objects involved in the conjecture. This survey article aims to review what is known in this direction and to present some interesting related questions the authors work on. |
| title | From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey |
| topic | Number Theory 11S15, 11S20, 11S25, 11S31 |
| url | https://arxiv.org/abs/2205.03558 |