Pollack, Robert J.Bergdall, John2018-02-052018-02-052017-05RJ Pollack, John Bergdall. "Slopes of modular forms and the ghost conjecture." International Mathematics Research Notices, rnx141, https://doi.org/10.1093/imrn/rnx1411687-0247https://hdl.handle.net/2144/26695We formulate a conjecture on slopes of overconvergent p-adic cusp forms 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".Pure mathematicsGeneral mathematicsArticle