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Título completo: Inverse Problems in Complex Media: Decoding theHidden Signals of Disordered Systems Resumo: It is straightforward to calculate the electronic conductance of a nanoscopic device once all its scattering centres are known. However, to do this in reverse, i.e., to determine the type of scatterers and their respective locations inside a disordered device by simply probing its DC conductance, seems like a nearly-impossible task. Tasks of this type are known as inverse problems and while they are prevalent in classical visualisation tools, they are not as ubiquitous in the nanoscale and even less so in the case of disordered media. In this seminar I make use of an efficient inversion methodology that reveals detailed information about the constituents of a disordered device contained not only in its conductance but in numerous other physical quantities. I intend to showcase numerous examples of success (and failure) in order to demonstrate how versatile these techniques can be. Finally, I speculate how they can be used as tools for material design.