A geometric realization of the principal block of quantum group modules at roots of unity is established as microsheaves on an affine Springer fiber, together with a wild-ramification geometric Langlands equivalence to coherent sheaves on the dual Springer resolution.
Sheaf quantization in
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Proves that the wrapped microlocal sheaf category μSh^w_L(L) is equivalent to Coh(X^∘) for conic bundle mirrors of toric Calabi-Yau (n+2)-folds under given conditions.
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Affine Springer fiber and the small quantum group
A geometric realization of the principal block of quantum group modules at roots of unity is established as microsheaves on an affine Springer fiber, together with a wild-ramification geometric Langlands equivalence to coherent sheaves on the dual Springer resolution.
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Homological Mirror Symmetry for Conic Bundle
Proves that the wrapped microlocal sheaf category μSh^w_L(L) is equivalent to Coh(X^∘) for conic bundle mirrors of toric Calabi-Yau (n+2)-folds under given conditions.