We explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two different descriptions of quantum affine algebras, the Drinfeld--Jimbo and the Kac--Moody realizations. Our main application is to obtain exotic t-structures on certain convolution varieties defined using the Beilinson--Drinfeld and affine Grassmannians. These varieties play an important role in the geometric Langlands program, knot homology constructions, K-theoretic geometric Satake and the coherent Satake category. As a special case we also recover the exotic t-structures of Bezrukavnikov--Mirkovic on the (Grothendieck--)Springer resolution in type A.

中文翻译：

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量子仿射代数的奇异 t 结构和作用

我们解释了如何使用量子仿射代数动作来系统地构建“奇异”t 结构。粗略地说，主要思想是利用量子仿射代数的两种不同描述，Drinfeld--Jimbo 和 Kac--Moody 实现。我们的主要应用是在使用 Beilinson-Drinfeld 和仿射格拉斯曼函数定义的某些卷积变体上获得奇异的 t 结构。这些变体在几何朗兰兹规划、结同调构造、K 理论几何 Satake 和相干 Satake 范畴中发挥重要作用。作为一个特例，我们还在 A 型的 (Grothendieck--)Springer 分辨率上恢复了 Bezrukavnikov--Mirkovic 的奇异 t 结构。