Resumen de On the standard modules conjecture

Volker Heiermann, Goran Muic

• Let G be a quasi-split p-adic group. Under the assumption that the local coefficients C ? defined with respect to ?-generic tempered representations of standard Levi subgroups of G are regular in the negative Weyl chamber, we show that the standard module conjecture is true, which means that the Langlands quotient of a standard module is generic if and only if the standard module is irreducible