[HTML][HTML] On the reduction modulo p of certain modular p-adic Galois representations
A Ganguli - Journal of Number Theory, 2017 - Elsevier
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 …
the rational prime p is totally ramified in the totally real field F. Our weight lowering method …
On mod local-global compatibility for in the ordinary case
C Park, Z Qian - arXiv preprint arXiv:1712.03799, 2017 - arxiv.org
Let $ p $ be a prime number, $ n> 2$ an integer, and $ F $ a CM field in which $ p $ splits
completely. Assume that a continuous automorphic Galois representation $\overline …
completely. Assume that a continuous automorphic Galois representation $\overline …