Proves Dolbeault geometric Langlands equivalence for GL_r and SL_r/PGL_r over the locus of spectral curves with at worst type A singularities, extending beyond the elliptic locus via Whittaker normalization.
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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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The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
Proves Dolbeault geometric Langlands equivalence for GL_r and SL_r/PGL_r over the locus of spectral curves with at worst type A singularities, extending beyond the elliptic locus via Whittaker normalization.
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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.