On the universal supersingular mod p representations of GL2(F)

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Abstract

The irreducible supersingular mod p representations of G = GL2(F), where F is a finite extension of Qp, are the building blocks of the mod p representation theory of G. They all arise as irreducible quotients of certain universal supersingular representations. We investigate the structure of these universal modules in the case when F/Qp is totally ramified.

Original languageEnglish
Pages (from-to)242-277
Number of pages36
JournalJournal of Number Theory
Volume141
DOIs
StatePublished - Aug 2014

Keywords

  • Mod p local Langlands
  • Modular representation
  • Supersingular representation

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