  In this contribution, we review a general argument showing that de Sitter
critical points of extended supergravity are in tension with the magnetic weak
gravity conjecture if the gravitino mass is vanishing. Motivated by this
assumption, we review then the gravitino conjecture, which states that the
limit of vanishing gravitino mass is pathological for the effective field
theory description. Finally, we discuss more in general the fate of de Sitter
critical points (with massless gravitini) in supergravity and comment on
extensions of these works along various directions. Part of the material here
presented is unpublished.
