CRYSTALLINE LIFTS OF GALOIS REPRESENTATIONS
| dc.contributor.advisor | Savitt, David | |
| dc.contributor.committeeMember | Tchernyshyov, Oleg | |
| dc.contributor.committeeMember | Li, Yi | |
| dc.contributor.committeeMember | Sakellaridis, Yiannis | |
| dc.contributor.committeeMember | Iyengar, Ashwin | |
| dc.creator | Lin, Zhongyipan | |
| dc.creator.orcid | 0000-0001-6377-1716 | |
| dc.date.accessioned | 2022-07-25T16:52:26Z | |
| dc.date.available | 2022-07-25T16:52:26Z | |
| dc.date.created | 2022-05 | |
| dc.date.issued | 2022-04-01 | |
| dc.date.submitted | May 2022 | |
| dc.date.updated | 2022-07-25T16:52:26Z | |
| dc.description.abstract | Let G be a connected split reductive group over Zp, and let K be a p-adic field. We show continuous mod p G-valued representations of G_K admit crystalline lifts when they are G-completely reducible. We also show when p>3 and G is the exceptional group G_2, all continuous mod p G-valued representations of G_K admit crystalline lifts. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://jhir.library.jhu.edu/handle/1774.2/67050 | |
| dc.language.iso | en_US | |
| dc.publisher | Johns Hopkins University | |
| dc.publisher.country | USA | |
| dc.subject | Galois representations, exceptional groups | |
| dc.title | CRYSTALLINE LIFTS OF GALOIS REPRESENTATIONS | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.department | Mathematics | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Johns Hopkins University | |
| thesis.degree.grantor | Krieger School of Arts and Sciences | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Ph.D. |