Abstract
We study the moduli of $G$-local systems on smooth but not necessarily proper complex algebraic varieties. We show that, when considered as derived algebraic stacks, they carry natural Poisson structures, generalizing the well-known case of curves. We also construct symplectic leaves of this Poisson structure by fi xing local monodromies at infi nity and show that a new feature, called strictness, appears as soon as the divisor at in finity has nontrivial crossings.
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