Support singulier et homologie des fibres de Springer affines

2022/02/24 by Alexis Bouthier, Bouthier, Alexis · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2202.12017

openalex publication_date 2022/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a theory of singular support for various infinite dimensional stacks and establish several functoriality properties. Then we apply this theory to compute the singular support of the Grothendieck-Springer affine Springer sheaf and rely it to the local constancy conjecture of Goresky-Kottwitz-McPherson on the homology of affine Springer fibers along the root valuation stratification.

Cited by

• Cartier duality via Mittag-Leffler modules
• Ring stacks conjecturally related to the stacks BT_n^G,μ

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