Restriction of Banach representations of GL_2(Q_p) to GL_2(Z_p)

Seminar series

Number Theory Seminar

Date

Thu, 26 Feb 2015

Time

16:00 - 17:00

Location

Speaker

Gabriel Dospinescu

Organisation

ENS Lyon

Thanks to the p-adic local Langlands correspondence for GL_2(Q_p), one "knows" all admissible unitary topologically irreducible representations of GL_2(Z_p). In this talk I will focus on some elementary properties of their restriction to GL_2(Z_p): for instance, to what extent does the restriction to GL_2(Z_p) allow one to recover the original representation, when is the restriction of finite length, etc.