Higher nearby cycles and central sheaves on affine flag varieties

2023/05/19 by Pramod N. Achar, Achar, Pramod N., Simon Riche +1
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2305.11696

openalex publication_date 2023/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper we generalize and study a notion of (unipotent) nearby cycles over a higher dimensional base based on Beĭlinson's description of unipotent nearby cycles, following an idea of Gaitsgory. This generalization, in the setting of affine Grassmannians, is required in recent work of Bezrukavnikov-Braverman-Finkelberg-Kazhdan.

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