Asymptotic values of modular multiplicities for GL(2)

作者：Rozensztajn Sandra^*

来源：Journal de Theorie des Nombres de Bordeaux, 2014, 26(2): 465-482.

We study the irreducible constituents of the reduction modulo p of irreducible algebraic representations V of the group Res(K/Qp) 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-Mezard conjecture.

• 出版日期2014