论文标题
曲线上的驯服帕纳克非阿贝尔杂货通讯
Tame parahoric nonabelian Hodge correspondence on curves
论文作者
论文摘要
通过对所涉及的对象实现加权过滤，可以充分描述向矢量束的非亚伯杂货对应。为了为一般复杂的还原组$ g $建立一个完全的对应关系，我们在bruhat-tits的意义上介绍了Parahoric集团计划给出的Torsors。结合了Riemann-hilbert对数的帕拉克连接的现有结果，这使得在$ \ text {gl} _n（\ nathbb {c} c}）$ - case上，在非pact曲线上，Higgs捆绑包到基本组表示的完整Nonnonnon Nonnonnon Nonnonabelian Hodge对应。
The nonabelian Hodge correspondence for vector bundles over noncompact curves is adequately described by implementing a weighted filtration on the objects involved. In order to establish a full correspondence between a Dolbeault and a de Rham space for a general complex reductive group $G$, we introduce torsors given by parahoric group schemes in the sense of Bruhat--Tits. Combined with existing results on the Riemann--Hilbert correspondence for logarithmic parahoric connections, this gives a full nonabelian Hodge correspondence from Higgs bundles to fundamental group representations over a noncompact curve beyond the $\text{GL}_n(\mathbb{C})$-case.
