We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the extension algebra of the direct sum of the simple equivariant perverse sheaves. This proves a conjecture of Soergel and Lunts in the case of flag varieties.
On orbits in double flag varieties for symmetric pairs
$B_{n-1}$-orbits on the flag variety and the Bruhat graph for $S_{n}\times S_{n}$
The Poisson degeneracy locus of a flag variety
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