论文标题

模块化仿射类别类别和常规centralizer

Modular affine Hecke category and regular centralizer

论文作者

Bezrukavnikov, Roman, Riche, Simon

论文摘要

在本文中,我们提供了对还原代数群的仿射标志品种及其自由单调变体的偏见的倾斜式滑轮类别的“组合”描述。这为特征-0系数的熟悉的“ soergel理论”提供了替代,而我们项目的第二步朝着建立类别的等效性,与相关仿射hecke代数的两个自然几何实现相关的类别相等。

In this paper we provide a "combinatorial" description of the category of tilting perverse sheaves on the affine flag variety of a reductive algebraic group, and its free-monodromic variant, with coefficients in a field of positive characteristic. This provides a replacement for the familiar "Soergel theory" for characteristic-0 coefficients, and the second step in our project towards the construction of an equivalence of categories relating the two natural geometric realizations of the associated affine Hecke algebra in the case of positive-characteristic coefficients.

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