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arXiv · 2305.11696

Higher nearby cycles and central sheaves on affine flag varieties

Pramod N. Achar·Simon Riche
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Abstract

In this paper we generalize and study a notion of (unipotent) nearby cycles over a higher dimensional base based on Be\u{i}linson'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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Pramod N. Achar, Simon Riche. 2023-05-19. Higher nearby cycles and central sheaves on affine flag varieties. https://arxiv.org/abs/2305.11696

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