Established in the late 1990s, solar MHD seismology has rapidly grown into a unique tool for diagnostics of the solar atmospheric plasma. This Topical Collection presents the current state-of-the-art in the field, addressing both observational and theoretical aspects: from oscillations in coronal loops and filaments to quasi-periodic pulsations in flares, MHD wave dynamics in non-adiabatic coronal conditions, waves in the lower atmosphere, and novel techniques and approaches to theoretical modelling and data analysis.
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