A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Abstract

Let p be a prime number. We classify all smooth irreducible mod-p representations of the unramified unitary group U(1,1)(Q_p^2/Q_p) in two variables. We then investigate Langlands parameters in characteristic p associated to U(1,1)(Q_p^2/Q_p), and propose a correspondence between certain equivalence classes of Langlands parameters and certain isomorphism classes of semisimple L-packets on U(1,1)(Q_p^2/Q_p).

29 pages. The assumption p > 2 has been removed. Other minor changes also made. To appear in AIF

References in corpus (3)

• A Satake isomorphism in characteristic p
• The image of Colmez's Montreal functor
• Hecke modules and supersingular representations of U(2,1)

Cited by in corpus (1)

• A note on presentations of supersingular representations of ${\text{GL}}_2(F)$