A geometric perspective on the Breuil-Mézard conjecture

Details A geometric perspective on the Breuil-Mézard conjecture A geometric perspective on the Breuil-Mézard conjecture

2011-09-20

arxiv.org/abs/1109.4226v2

Mathematics

Number Theory

Fixing minor TeX issue

Scientific paper

Let p > 2 be prime. We state and prove (under mild hypotheses on the residual representation) a geometric refinement of the Breuil-M\'ezard conjecture for 2-dimensional mod p representations of the absolute Galois group of Qp. We also state a conjectural generalisation to n-dimensional representations of the absolute Galois group of an arbitrary finite extension of Qp, and give a conditional proof of this conjecture, subject to the existence of an inertial local Langlands correspondence and a certain R = T-type theorem together with a strong version of the weight part of Serre's conjecture for rank n unitary groups.

Affiliated with

Also associated with

No associations

Rating

A geometric perspective on the Breuil-Mézard conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A geometric perspective on the Breuil-Mézard conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A geometric perspective on the Breuil-Mézard conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146410