Title: Gromov-Witten Theory of DM stacks

Abstract: I will motivate GW theory of DM stacks from the crepant resolution conjecture. I will then explain why we need to consider twisted curves from an explicit example where a family of curves degenerates to a twisted curve. I will also explain why the evaluation map should land into the rigidified inertial. In the end, I will give a proof of Riemann-Roch theorem for twisted curves.