Speaker: Darius Shi (Stanford University) Title: Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators Abstract: Superconductivity (SC) and the fractional quantum Hall (FQH) effect are two of the most striking emergent phenomena in condensed matter physics. Historically, these two fields have largely developed in parallel due to the apparent incompatibility between SC and the large magnetic fields required to stabilize FQH states. However, the discovery of Fractional Chern insulators (FCIs) at small/zero magnetic field forces us to revisit this conventional intuition. In this talk, we discuss the relationship between SC and FCI as a function of bandwidth at a fixed lattice electron filling. Leveraging the duality between three field-theoretic descriptions of the Jain FCI at arbitrary filling p/(2p+1), we show that bandwidth tuning can drive a direct transition into one of four distinct non-Abelian topological SCs. We illustrate the essential physics behind this construction using two examples at filling 2/3. The first is a charge-2e topological SC with an odd number of Majorana zero modes, and the second is a charge-4e SC whose vortices bind Z_3 parafermions, offering enhanced capabilities for topological quantum computation. Together, these results demonstrate that the interplay between SC and FCI is far richer than previously appreciated, and suggest promising directions for microscopic modeling and experimental realization.