Pollack, RobertBergdall, John2022-05-042022-05-04R. Pollack, J. Bergdall. "Slopes of modular forms and reducible Galois representations: an oversight in the ghost conjecture." Transactions of the American Mathematical Society, https://arxiv.org/abs/2110.07973v20002-9947https://hdl.handle.net/2144/44355The ghost conjecture, formulated by this article’s authors, predicts the list of p-adic valuations of the non-zero ap-eigenvalues (“slopes”) for overconvergent p-adic modular eigenforms in terms of the Newton polygon of an easy-to-describe power series (the “ghost series”). The prediction is restricted to eigenforms whose Galois representation modulo p is reducible on a decomposition group at p. It has been discovered, however, that the conjecture is not formulated correctly. Here we explain the issue and propose a salvage.en-USThis work is distributed under a Creative Commons Attribution 4.0 license.http://creativecommons.org/licenses/by/4.0/Article716532