Deformations of GQp and GL2(Qp) Representations
نویسندگان
چکیده
منابع مشابه
EXPLICIT REDUCTION MODULO p OF CERTAIN 2-DIMENSIONAL CRYSTALLINE REPRESENTATIONS, II
We complete the calculations begun in [BG09], using the p-adic local Langlands correspondence for GL2(Qp) to give a complete description of the reduction modulo p of the 2-dimensional crystalline representations of GQp of slope less than 1, when p > 2.
متن کاملLocally analytic vectors of unitary principal series of GL2(Qp) I
For V a 2-dimensional p-adic representation of GQp , we denote by B(V ) the admissible unitary representation of GL2(Qp) attached to V under the p-adic local Langlands correspondence of GL2(Qp) initiated by Breuil. In this article, building on the works of Berger-Breuil and Colmez, we determine the locally analytic vectors B(V )an of B(V ) when V is irreducible, crystabelian and Frobenius semi-...
متن کاملOn Unitary Deformations of Smooth Modular Representations
Let G be a locally Qp-analytic group and K a finite extension of Qp with residue field k. Adapting a strategy of B. Mazur (cf. [Maz89]) we use deformation theory to study the possible liftings of a given smooth G-representation ρ over k to unitary G-Banach space representations over K. The main result proves the existence of a universal deformation space in case ρ admits only scalar endomorphis...
متن کاملAN IRREDUCIBILITY CRITERION FOR SUPERSINGULAR mod p REPRESENTATIONS OF GL2(F ) FOR TOTALLY RAMIFIED EXTENSIONS F OF Qp
Let F be a totally ramified extension of Qp. We consider supersingular representations of GL2(F ) whose socles as GL2(OF )-modules are of a certain form that is expected to appear in the mod p local Langlands correspondence and establish a condition under which they are irreducible.
متن کاملON l-ADIC FAMILIES OF CUSPIDAL REPRESENTATIONS OF GL2(Qp)
We compute the universal deformations of cuspidal representations π of GL2(F ) over Fl, where F is a local field of residue characteristic p and l is an odd prime different from p. When π is supercuspidal there is an irreducible, two dimensional representation ρ of GF that corresponds to π via the mod l local Langlands correspondence of [Vi2]; we show that there is a natural isomorphism between...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010