Marked Length Spectrum Rigidity for Surface Amalgams

The marked length spectrum of a negatively curved metric space can be thought of as a length assignment to every closed geodesic in the space. A celebrated result by Croke and Otal says that metrics on negatively curved closed surfaces are determined completely by their marked length spectra. In my talk, I will discuss my work towards extending Croke and Otal’s result to a large class of surface amalgams which are generalizations of closed, negatively curved surfaces.