Exactness of global sections in the new t-structure

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Let Γ\Fl:\bDren(\fD(\FlGaff⁡)\critmod⁡)→\bDren(\hg\critmod⁡\nilp)\Gamma_\Fl:\bD_{\mathrm{ren}}(\fD(\Fl^{\operatorname{aff}}_G)_\crit\operatorname{mod})\to\bD_{\mathrm{ren}}(\hg_\crit\operatorname{mod}_\nilp) be the global-sections functor, and equip the source with the new t-structure. New-t-structure exactness conjecture. The functor Γ\Fl\Gamma_\Fl 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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