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Long-period variables are bright, evolved red giant stars showing periodicphotometric changes due to stellar pulsation. They follow one or moreperiod-luminosity and period-age relations, which make them highly promisingdistance indicators and tracers of young and intermediate-age stellarpopulations. Such a potential is especially interesting in view of the massiveamount of data delivered by modern large-scale variability surveys. Crucially,these applications require a clear theoretical understanding of pulsationphysics in connection with stellar evolution. Here, I describe an ongoingeffort from our collaboration dedicated to the modelling of stellar pulsationin evolved stars, and how this work is impacting our capability ofinvestigating long-period variables and exploiting them for other astrophysicalstudies. Furthermore, I present our ongoing work aimed at assessing thepotential of semi-regular variables, an often neglected sub-type of long-periodvariables, to be distance indicators complementary to their better-known, moreevolved counterparts, the Mira variables.

Long-Period Variables as distance and age indicators in the era of Gaia and LSST