We determine reductions of 2-dimensional, irreducible, semistable, and non-crystalline representations of Gal(Q¯pQp)with Hodge-Tate weights 0 < k-1and with L-invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for k ≥p.
|Original language||English (US)|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Accepted/In press - 2022|
- local Galois representations modulo p
- p-adic Hodge theory
- semistable representations
ASJC Scopus subject areas