An example of the Langlands correspondence for irregular rank two connections on P-1

作者：Arinkin D; Fedorov R^*

来源：Advances in Mathematics, 2012, 230(3): 1078-1123.

DOI：10.1016/j.aim.2012.03.003

• The Langlands duality
• Moduli spaces
• Connections with irregular singularities
• Parabolic bundles

Special kinds of rank 2 vector bundles with (possibly irregular) connections on P-1 are considered. We construct an equivalence between the derived category of quasi-coherent sheaves on the moduli stack of such bundles and the derived category of modules over a TDO ring on certain non-separated curve. We identify this curve with the coarse moduli space of some parabolic bundles on P-1. Then our equivalence becomes an example of the categorical Langlands correspondence.

• 出版日期2012-6-20