Title: Cohomology of the flag variety under PBW degenerations,
Abstract: PBW degenerations are a particularly nice family of flat degenerations of
type A flag varieties. We show that the cohomology of any PBW degeneration of
the flag variety surjects onto the cohomology of the original flag variety, and
that this holds in an equivariant setting too. We also prove that the same is
true in the symplectic setting when considering Feigin's linear degeneration of
the symplectic flag variety.