The category of singularities as a crystal and global Springer fibers

The category of singularities as a crystal and global Springer fibers
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作为晶体和全局施普林格纤维的奇点类别

DOI:
10.1090/jams/882
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发表时间:
2014
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
D. Gaitsgory
D. Gaitsgory
中科院分区:
--
文献类型:
--
作者:
D. Arinkin;D. Gaitsgory

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我们证明了“胶合猜想”的光谱方面的范畴几何朗兰兹对应。关键的工具是晶体的结构上的奇异性的范畴,它允许减少猜想的问题,同调平凡的某些同伦类型。这些同伦类型是通过从施普林格纤维的全球版本胶合。
We prove the "Gluing Conjecture" on the spectral side of the categorical geometric Langlands correspondence. The key tool is the structure of crystal on the category of singularities, which allows to reduce the conjecture to the question of homological triviality of certain homotopy types. These homotopy types are obtained by gluing from a global version of Springer fibers.
DOI: 10.24033/asens.2076
发表时间: 2007-02
影响因子: 1.9
作者:
D. Benson;S. Iyengar;H. Krause
通讯作者: D. Benson;S. Iyengar;H. Krause