CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Constructing Galois Representations with Very Large Image

  Published:2008-02-01
 Printed: Feb 2008
  • Ravi Ramakrishna
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Starting with a 2-dimensional mod $p$ Galois representation, we construct a deformation to a power series ring in infinitely many variables over the $p$-adics. The image of this representation is full in the sense that it contains $\SL_2$ of this power series ring. Furthermore, all ${\mathbb Z}_p$ specializations of this deformation are potentially semistable at $p$.
Keywords: Galois representation, deformation Galois representation, deformation
MSC Classifications: 11f80 show english descriptions unknown classification 11f80 11f80 - unknown classification 11f80
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/