Abstract
In this talk, I will give an introduction to the emerging topic of latent symmetries. A latent symmetry is in general not apparent from a geometric inspection of the system. Instead, it becomes visible after a suitable dimensional reduction: The so-called isospectral reduction, which is akin to an effective Hamiltonian. As I will show in this talk, latent symmetries can lead to very interesting phenomena, including the induction of local symmetries on the system’s eigenstates or even degeneracies in the eigenvalue spectrum. Their study thus allows to gain knowledge about the system’s structure that remains hidden from a direct observation. The concept is exemplified through several wave-physical examples.
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