Deligne--Lusztig duality on the moduli stack of bundles

2020/08/21 by Lin Chen, Chen, Lin
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2008.09348

openalex publication_date 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Bun_G(X) be the moduli stack of G-torsors on a smooth projective curve X for a reductive group G. We prove a conjecture made by Drinfeld-Wang and Gaitsgory on the Deligne-Lusztig duality for D-modules on Bun_G(X). This conjecture relates Drinfeld-Gaitsgory's pseudo-identity functors to the enhanced Eisenstein series and geometric constant term functors on DMod(Bun_G(X)). We also prove a "second adjointness" result for these enhanced functors.

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