Supernova $\nu$ flavour conversions in DUNE: the slow, the fast and the standard

The flavour composition of a future supernova neutrino signal is expected to carry measurable imprints of flavour conversion processes in the dense stellar medium. In this work, we analyse the sensitivity of the upcoming Deep Underground Neutrino Experiment (DUNE) to three phenomenologically distinct effects: slow energy-dependent collective oscillations, fast energy-independent collective oscillations, and standard MSW conversions. By integrating GLoBES and MultiNest and using benchmark neutrino fluxes at emission, we assess the potential of DUNE to extract the underlying flux parameters and discriminate among conversion scenarios.