Abstract: Understanding geometric objects via fibering them by lower dimensional structures is a widespread tool in geometry. Examples include Mirror Symmetry, Deligne’s proof of the Weil conjectures, and many more. In differential geometry, adiabatic limits are an established tool to study fibred manifolds. The idea of an adiabatic limit is that one rescales the metric on a fibred manifold such that the size of the fibres shrinks to zero, while the base stays of constant size. In many cases, the geometry of the entire manifold splits into the geometries of the fibres and the base. This has applications to constant scalar curvature Kähler metrics, Calabi–Yau and G2 metrics, instantons on S4, harmonic forms on fibred manifolds (leading to an analytic interpretation of the Leray spectral sequence), and many more examples. In this talk we will have a look at the general technique and some examples.