Manolis Papastergis - March 3, 2016 The too-big-to-fail problem is too-persistent-to-die: new constraints from nearby field dwarfs The "too big to fail" (TBTF) problem is a pressing observational challenge to the standard cosmological model at small scales. Put simply, it refers to the fact that it is very challenging to explain both the internal kinematics and the observed number density of dwarfs in the LCDM context. Even though the problem was first identified in the satellite population of the Milky Way, it has now become clear that it concerns dwarf galaxies in general. In this talk, I first plan to give an overview of the observational evidence that supports the statements above. I then plan to briefly describe the most promising solutions to the problem, including a "baryonic" solution within LCDM as well as alternative dark matter models. I will conclude by showing how present and future observations of HI in nearby field dwarfs can help us distinguish between a cosmological and an astrophysical solution for TBTF.