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On factorization algebras arising in the quantum geometric Langlands theory
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-08-20 , DOI: 10.1016/j.aim.2021.107962 D. Gaitsgory
中文翻译:
关于量子几何朗兰兹理论中出现的分解代数
更新日期:2021-08-20
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-08-20 , DOI: 10.1016/j.aim.2021.107962 D. Gaitsgory
We study factorization algebras on configuration spaces of points on a curve, colored by elements of the root lattice. Our main result says that the factorization algebra attached to Lusztig's quantum group can be obtained as a direct image of a twisted Whittaker sheaf on the Zastava space.
中文翻译:
关于量子几何朗兰兹理论中出现的分解代数
我们研究曲线上点的配置空间的分解代数,由根点阵的元素着色。我们的主要结果表明,附加到 Lusztig 量子群的分解代数可以作为 Zastava 空间上扭曲的 Whittaker 层的直接图像获得。