For any quasi-symmetric representation of a reductive group, the derived categories of GIT quotients form a perverse schober on the partial compactification of the stringy Kähler moduli space.
Discriminants and Quasi-symmetry
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This paper gives a geometric interpretation of the notion of quasi-symmetric representation and uses this to show that the discriminant locus associated to such a representation is a hyperplane arrangement. Moreover, we identify this hyperplane arrangement, up to a shift, with the one appearing in recent work of Halpern-Leistner--Sam
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A class of perverse schobers in Geometric Invariant Theory
For any quasi-symmetric representation of a reductive group, the derived categories of GIT quotients form a perverse schober on the partial compactification of the stringy Kähler moduli space.