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Invited review talk at the virtual workshop Exoplanets Orbits & Dynamics hosted by University of Liege on Jan. 19-22, 2021. Workshop website: https://sites.google.com/view/exodynamics/home

Debris disk constitute the most observable parts of young planetary systems. They often present structures (gaps, asymmetries) that can be related to the perturbing action of inbedded planets. Resonant phenomena with planets are among the strongest phenomena that affect disks mophology and evolution. This concerns Kozai-Lidov, secular and mean-motion resonances, the latter one being the most commonly invoked. I briefly summarize the theory underlying these dynamical phenomena, and show that they can trigger the formation of eccentric rings and gaps. This concerns mean-motion as well as secular resonances. Mean-motion resonances also enhance radial planetesimal transport within the disk, such as the generation of star-grazing comets. This is a common property with Kozai-Lidov resonance, but with different statistical behaviour. This can be used to distinguish both phenomena. Planetary migration acts as a additional process that enhances the efficiency of resonant trapping. I decribe then a few specific examples of systems, including Beta Pictoris, Fomalhaut, HD106906 and HD107146 where resonant processes were invoked to explain various observational facts.

Hervé Beust: Resonant phenomena in debris disks - morphologic and evolutionary issues (review)