Proves homological mirror symmetry linking the wrapped Fukaya category of the affine Toda system for G to coherent sheaves on the regular centralizer for G^vee, as a geometric Langlands equivalence for P1 with mildest wild ramification at 0 and infinity.
Derived categories of character sheaves
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abstract
We give a block decomposition of the dg category of character sheaves on a simple and simply-connected complex reductive group $G$, similar to the one in generalized Springer correspondence. As a corollary, we identify the category of character sheaves on $G$ as the category of quasi-coherent sheaves on an explicitly defined derived stack $\widehat{G}$.
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math.SG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Mirror Symmetry of the Affine Toda Systems
Proves homological mirror symmetry linking the wrapped Fukaya category of the affine Toda system for G to coherent sheaves on the regular centralizer for G^vee, as a geometric Langlands equivalence for P1 with mildest wild ramification at 0 and infinity.