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This work aims to construct a modular coherent Springer object for split finite reductive groups and reveal its structural properties.

March 1, 2026Open Access

From Drinfeld Doubles to Nilpotent IndCoh: A Modular Coherent Springer Construction

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This work aims to construct a modular coherent Springer object for split finite reductive groups and reveal its structural properties.
Constructed a modular coherent Springer object S using stratumwise Lusztig–Jordan strata.
Identified the derived endomorphism algebra of S and related it to the Drinfeld double.
Demonstrated three structural properties regarding the pushforward, endomorphisms, and orthogonality across strata.
Established a derived equivalence linking module categories of the Drinfeld double and nilpotent ind-coherent sheaves.
Identified contributions of various sectors of the Morita reduction to the centralizer algebra.

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This preprint constructs a modular coherent object in a derived category, indicating implications for the Langlands program.

Matthew Eltgroth (2026) studied this question.

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