REDUCTIONS of 2-DIMENSIONAL SEMISTABLE REPRESENTATIONS with LARGE L-INVARIANT

John Bergdall, Brandon Levin, Tong Liu

Research output: Contribution to journalArticlepeer-review

Abstract

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 languageEnglish (US)
JournalJournal of the Institute of Mathematics of Jussieu
DOIs
StateAccepted/In press - 2022
Externally publishedYes

Keywords

  • local Galois representations modulo p
  • p-adic Hodge theory
  • semistable representations

ASJC Scopus subject areas

  • Mathematics(all)

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