Abstract: Let $C$ be a smooth, proper curve of genus $g$ over complex numbers. The Weil pairing is a skew symmetric, perfect pairing on the group of two torsion line bundles on $C$. The pairing behaves well as $C$ varies in its moduli space $M_g$ of smooth genus $g$ curves. A natural question to ask is if we can extend the pairing to the boundary of a suitable compactification of $M_g$. One such compactification is obtained by considering (stable) twisted curves. In this talk, I will explain what the pairing is on a twisted curve and talk about its combinatorial, graph theoretic flavour.