THE WEIGHT PART of SERRE'S CONJECTURE for GL(2)

Toby Gee, Tong Liu, David Savitt

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Let p>2 be prime. We use purely local methods to determine the possible reductions of certain two-dimensional crystalline representations, which we call pseudo-Barsotti-Tate representations, over arbitrary finite extensions of Qp. As a consequence, we establish (under the usual Taylor-Wiles hypothesis) the weight part of Serre's conjecture for GL(2) over arbitrary totally real fields.

Original languageEnglish (US)
Article numbere2
JournalForum of Mathematics, Pi
Volume3
DOIs
StatePublished - Jan 1 2015

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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