%0 Journal Article
%T Asymptotic values of modular multiplicities for GL_2
%A Sandra Rozensztajn
%J Mathematics
%D 2012
%I arXiv
%R 10.5802/jtnb.875
%X We study the irreducible constituents of the reduction modulo p of irreducible algebraic representations V of Res_{K/Q_p} GL_2 for K a finite extension of Q_p. We show that asymptotically, the multiplicity of each constituent depends only on the dimension of V and the central character of its reduction modulo p. As an application, we compute the asymptotic value of multiplicities that are the object of the Breuil-M\'ezard conjecture.
%U http://arxiv.org/abs/1209.5666v2