Exactness of global sections in the new t-structure
Let be the global-sections functor, and equip the source with the new t-structure. New-t-structure exactness conjecture. The functor is exact for the new t-structure on the source. This is presented as a corollary of the renormalized affine-flag localization conjecture, so it remains open together with that conjecture.
References
Primary source
Edward Frenkel and Dennis Gaitsgory, “D-modules on the affine flag variety and representations of affine Kac-Moody algebras”, arXiv:0712.0788 (2009).
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