Title: Cactus flower curves, integrable systems, and crystals.
Abstract: The moduli space of rational curves with n+1 marked points and a tangent vector (called framing) at the last of them has a natural compactification F_n analogous to the Deligne-Mumford one for the space of non-framed curves, called moduli space of cactus flower curves.
Contrary to the usual Deligne-Mumford compactification, it is singular