A classification of the irreducible mod-p representations of   U(1,1)(Q_p^2/Q_p)
  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). 
Karol Koziol
math.RT math.NT