In my talk I will first review a "resurgence conjecture" which relates the asymptotic expansion of the sl_2 Witten-Reshetikhin-Turaev invariant of a 3-manifold with the SL(2,C) character variety of its fundamental group. I will then tell how this conjecture can be explicitly verified for plumbed 3-manifolds. As a by-product, one can define invariants of plumbed 3-manifolds labelled by pairs of SL(2,C) flat connections and valued in formal power series with integers coefficients. If time permits, I will comment on possible categorification of these invariants.
