Multiplicity and archimedean packet conjecture for G2G_2G2 lifts from GL2\mathrm{GL}_2GL2
Multiplicity and packet conjecture. For every v∈Sv\in Sv∈S, there is a representation Πv−\Pi_v^-Πv− of G2(Qv)\mathrm{G}_2(\mathbb{Q}_v)G2(Qv), different from Lα(πv,1/10)\mathcal{L}_\alpha(\pi_v,1/10)Lα(πv,1/10), such t…