在穿孔圆盘上的任何一个扁束都有一个oper结构
Any flat bundle on a punctured disc has an oper structure
摘要：
证明了在穿孔圆盘上的任何平坦G-丛都有算子的结构，其中G是复连通约化代数群。这个结果在arXiv：math/0508382中提出的局部几何朗兰兹对应中是重要的。我们的证明使用了仿射Springer纤维的某些变形，这可能是独立的利益。作为一个副产品，我们构建仿射外尔群的表示这些变形的同源性，推广由Lusztig构建的表示。
英文摘要：
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the punctured disc admits the structure of an oper. This result is important in the local geometric Langlands correspondence proposed in arXiv:math/0508382. Our proof uses certain deformations of the affine Springer fibers which could be of independent interest. As a byproduct, we construct representations of affine Weyl groups on the homology of these deformations generalizing representations constructed by Lusztig.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
