Abstract: The wild nonabelian Hodge correspondence is established with the help of Kobayashi-Hitchin correspondence and Riemann-Hilbert correspondence. It gives a correspondence among three distinct objects: wild Higgs bundles, irregular singular connections and Stokes local systems. In this talk, I will start with wild Riemann-Hilbert correspondence and discuss Stokes G-local systems together with its moduli spaces in the wild nonabelian Hodge correspondence. This work is joint with Pengfei Huang.