  We explain how Queffelec-Sartori's construction of the HOMFLY-PT link
polynomial can be interpreted in terms of parabolic Verma modules for
$\mathfrak{gl}_{2n}$. Lifting the construction to the world of
categorification, we use parabolic 2-Verma modules to give a higher
representation theory construction of Khovanov-Rozansky's triply graded link
homology.
