Tate’s thesis in the de Rham setting
Tate’s thesis in the de Rham setting
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塔特在德拉姆背景下的论文
DOI：
10.1090/jams/1010
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发表时间：
2023
影响因子：
3.9
通讯作者：
Raskin, Sam
中科院分区：
文献类型：
--
作者：
Hilburn, Justin;Raskin, Sam
我们计算范畴的仿射线的循环空间上的模的相干条款。具体地说，我们发现，这个范畴导出等价于单位截面的秩为1的de Rham局部系统的模空间上的ind-coherent层范畴。我们的结果建立了一个来自镜像对称程序的猜想，它从QFT的丰富对偶中获得了几何Langlands程序的新相容性，而QFT本身又是从弦理论中获得的。引用
We calculate the category of-modules on the loop space of the affine line in coherent terms. Specifically, we find that this category is derived equivalent to the category of ind-coherent sheaves on the moduli space of rank one de Rham local systems with a flat section. Our result establishes a conjecture coming out of themirror symmetry program, which obtains new compatibilities for the geometric Langlands program from rich dualities of QFTs that are themselves obtained from string theory conjectures. References