The article reviews the concept of Fano resonances, which are observed in various physical systems and are characterized by asymmetric line profiles. These resonances arise from the interference between resonant transmission and reflection, leading to constructive and destructive interference. The review covers the historical background, including the early observations by Ugo Fano and others, and the theoretical framework that explains the asymmetric profiles. It discusses the Fano-Anderson model, which is a simple one-dimensional model that demonstrates the main features of Fano resonances. The article also explores how the asymmetry parameter can be tuned in different systems, such as quantum dots and biased semiconductor superlattices. Additionally, it examines the extension of Fano resonances to more complex geometries and dynamics, including the scattering of pulses and solitons, and the role of nonlinearities. The review highlights the importance of Fano resonances in understanding wave propagation and scattering in nanoscale structures, and their applications in various fields such as optics, condensed matter physics, and quantum information.The article reviews the concept of Fano resonances, which are observed in various physical systems and are characterized by asymmetric line profiles. These resonances arise from the interference between resonant transmission and reflection, leading to constructive and destructive interference. The review covers the historical background, including the early observations by Ugo Fano and others, and the theoretical framework that explains the asymmetric profiles. It discusses the Fano-Anderson model, which is a simple one-dimensional model that demonstrates the main features of Fano resonances. The article also explores how the asymmetry parameter can be tuned in different systems, such as quantum dots and biased semiconductor superlattices. Additionally, it examines the extension of Fano resonances to more complex geometries and dynamics, including the scattering of pulses and solitons, and the role of nonlinearities. The review highlights the importance of Fano resonances in understanding wave propagation and scattering in nanoscale structures, and their applications in various fields such as optics, condensed matter physics, and quantum information.