On the reduction modulo p of certain modular p-adic Galois representations
| dc.contributor.author | Ganguli, Abhik | |
| dc.date.accessioned | 2020-12-04T04:56:59Z | |
| dc.date.available | 2020-12-04T04:56:59Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We determine the possible Serre weights associated to certain Hilbert modular forms when the rational prime p is totally ramified in the totally real field F. Our weight lowering method for arbitrarily large weight is applicable when the slope is sufficiently small, enabling us to compute the mod p reduction at inertia from the known results in the small weight range. In the case of elliptic modular forms (and for certain Hilbert modular forms in the p totally split case) we obtain a unique mod p reduction when the slope is in . | en_US |
| dc.identifier.citation | Journal of Number Theory, 172 | en_US |
| dc.identifier.other | 10.1016/j.jnt.2016.09.003 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0022314X16302372 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2635 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Galois representations | en_US |
| dc.subject | Modular forms | en_US |
| dc.subject | Hilbert modular forms | en_US |
| dc.subject | Modular Galois representations | en_US |
| dc.title | On the reduction modulo p of certain modular p-adic Galois representations | en_US |
| dc.type | Article | en_US |