Conductors in p-adic families

Jyoti Prakash Saha

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Given a Weil-Deligne representation of the Weil group of an ℓ-adic number field with coefficients in a domain O, we show that its pure specializations have the same conductor. More generally, we prove that the conductors of a collection of pure representations are equal if they lift to Weil-Deligne representations over domains containing O and the traces of these lifts are parametrized by a pseudorepresentation over O.

Original languageEnglish
Pages (from-to)359-366
Number of pages8
JournalRamanujan Journal
Issue number2
StatePublished - 1 Nov 2017
Externally publishedYes


  • Conductors
  • Pure representations
  • p-adic families of automorphic forms

ASJC Scopus subject areas

  • Algebra and Number Theory


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