Finiteness of unramified deformation rings

Patrick B. Allen, Frank Calegari

Research output: Contribution to journalArticlepeer-review


We prove that the universal unramified deformation ring Runr of a continuous Galois representation (formula displayed) (for a totally real field F+ and finite field k) is finite over O = W(k) in many cases. We also prove (under similar hypotheses) that the universal deformation ring Runiv is finite over the local deformation ring Rloc.

Original languageEnglish (US)
Pages (from-to)2263-2272
Number of pages10
JournalAlgebra and Number Theory
Issue number9
StatePublished - 2014
Externally publishedYes


  • Galois representations

ASJC Scopus subject areas

  • Algebra and Number Theory


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