  Let $\Lambda$ be a finite-dimensional algebra over a field $K$. We describe
how Buan and Marsh's $\tau$-exceptional sequences can be used to give a "brick
labeling" of a certain poset of wide subcategories of finitely-generated
$\Lambda$-modules. When $\Lambda$ is representation-directed, we prove that
there exists a total order on the set of bricks which makes this into an
EL-labeling. Motivated by the connection between classical exceptional
sequences and noncrossing partitions, we then turn our attention towards the
study of (well-separated) completely semidistributive lattices. Such lattices
come equipped with a bijection between their completely join-irreducible and
completely meet-irreducible elements, known as rowmotion or simply the
"$\kappa$-map". Generalizing known results for finite semidistributive
lattices, we show that the $\kappa$-map determines exactly when a set of
completely join-irreducible elements forms a "canonical join representation". A
consequence is that the corresponding "canonical join complex" is a flag
simplicial complex, as has been shown for finite semidistributive lattices and
lattices of torsion classes of finite-dimensional algebras. Finally, in the
case of lattices of torsion classes of finite-dimensional algebras, we
demonstrate how Jasso's $\tau$-tilting reduction can be encoded using the
$\kappa$-map. We use this to define $\kappa^d$-exceptional sequences for finite
semidistributive lattices. These are distinguished sequences of completely
join-irreducible elements which we prove specialize to $\tau$-exceptional
sequences in the algebra setting.
