Meromorphic parahoric Higgs torsors and filtered Stokes G-local systems on curves

In this paper, we consider the wild nonabelian Hodge correspondence for principal G-bundles on curves, where G is a connected complex reductive group. We establish under “very good” condition irregular type of meromorphic G-connections introduced by Boalch, and thus confirm conjecture in [9, §1.5]. first give version Kobayashi–Hitchin correspondence, which induces one-to-one between stable parahoric Higgs torsors degree zero (Dolbeault side) connections (de Rham side). Then, introducing notion stability filtered Stokes G-local systems, prove systems (Betti When G=GLn(C), main result paper reduces to that [4].