
In this talk, we present a multiplicity one conjecture for residual Galois
representations over totally real number fields. This conjecture is due to
Breuil, Diamond and the speaker, and appears naturally in the framework
of the mod p Langlands correspondence for GL(2). We will illustrate the
conjecture with many examples.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246