Abstract:In this talk, we will introduce a quantum analogue of the BGG category O, which is the category O for the hybrid quantum group introduced by Gaitsgory. We show that the principal block of quantum category O is a version of the affine Hecke category. More precisely, the principal block is abelian equivalent to a category of coherent sheaves involving the Springer resolution and its non-...
IntroductionThe stable motivic homotopy categories of schemes are nice ∞-categories, which admit a whole six-functor formalism. For a smooth morphism of schemes f: X→Y over a base S, the usual pullback functor f*: SH(Y)→SH(X) admits a left adjoint f_♯, the additive pushforward; they are packaged in a functor from an ∞-category of spans.Recently, Bachmann and Hoyois discovered a multiplicat...
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