Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
Proof of the geometric langlands conjecture iii: compatibility with parabolic induction
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Constructs the quantum geometric Langlands functor in the Betti setting via Whittaker coefficients and proves compatibility with the 2-Fourier-Mukai equivalence between sheaves of categories over 2-stacks Ge_{Z_G} and Ge_{π_1(Ĝ)}.
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Semiorthogonal decompositions for stacks
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
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Quantum Betti geometric Langlands functor
Constructs the quantum geometric Langlands functor in the Betti setting via Whittaker coefficients and proves compatibility with the 2-Fourier-Mukai equivalence between sheaves of categories over 2-stacks Ge_{Z_G} and Ge_{π_1(Ĝ)}.