4. Soergel bimodules
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Problem 4.1.
What is the Drinfeld center of K^b(\mathbb{S}\text{Bim}_{\text{fin}})? K^b(\mathbb{S}\text{Bim}_{\text{aff}})? Are there additional complexes in K^b(\mathbb{S}\text{Bim}) which commute with \mathbb{S}Bim? -
Problem 4.2.
Is Z(K^b(\mathbb{S}\text{Bim}_{\text{ext}})) generated by Gaitsgory central sheaves? Is Z(K^b(\mathbb{S}\text{Bim}_{\text{fin}})) generated by images of Gaitsgory central sheaves? Is Z(K^b(\mathbb{S}\text{Bim}_{\text{fin}})) split generated by powers of FT_n? Is Z(K^b(\mathbb{S}\text{Bim}_{\text{fin}})) symmetric monoidal? -
Problem 4.3.
Is the flattening of the Gaitsgory complex for the standard representation equal to the tautological sheaf from the GNR conjecture?
Cite this as: AimPL: Categorified Hecke algebras, link homology, and Hilbert schemes, available at http://aimpl.org/catheckehilbert.