Slopes of modular forms and the ghost conjecture
  We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes "at the boundary of weight space". 
John Bergdall and Robert Pollack
math.NT