Canadian Mathematical Society
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Reciprocity Law for Compatible Systems of Abelian $\bmod p$ Galois Representations

 Printed: Dec 2005
  • Chandrashekhar Khare
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  


The main result of the paper is a {\em reciprocity law} which proves that compatible systems of semisimple, abelian mod $p$ representations (of arbitrary dimension) of absolute Galois groups of number fields, arise from Hecke characters. In the last section analogs for Galois groups of function fields of these results are explored, and a question is raised whose answer seems to require developments in transcendence theory in characteristic $p$.
MSC Classifications: 11F80 show english descriptions Galois representations 11F80 - Galois representations

© Canadian Mathematical Society, 2014 :