"Reductions of 2-Dimensional Semistable Representations with Large L-Invariant"
Authors: Bergdall, John; Levin, Brandon; Liu, Tong
Source: Journal of the Institute of Mathematics of Jussieu, DOI: 10.1017/S1474748022000081, April 2022
Type of Publication: Article
Abstract: We determine reductions of 2-dimensional, irreducible, semistable, and non-crystalline representations of the absolute Galois group of the p-adic numbers, with Hodge-Tate weights 0 < k-1 and 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 larger than or equal to p.
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