  We study some aspects of conjugation and descent in the context of the
irregular Riemann-Hilbert correspondence of D'Agnolo-Kashiwara. First, we give
a proof of the fact that Kashiwara's conjugation functor for holonomic
D-modules is compatible with the enhanced De Rham functor. Afterwards, we work
out some complements on Galois descent for enhanced ind-sheaves, slightly
generalizing results obtained in previous joint work with Barco, Hien and
Sevenheck. Finally, we show how local decompositions of an enhanced ind-sheaf
into exponentials descend to lattices over smaller fields. This shows in
particular that a structure of the enhanced solutions of a meromorphic
connection over a subfield of the complex numbers has implications on its
generalized monodromy data (in particular, the Stokes matrices), generalizing
and simplifying an argument given in our previous work.
