  Designer 2D materials where the constituent layers are not aligned may result
in band structures with dispersionless, "flat" bands. Twisted bilayer graphene
has been found to show correlated phases as well as superconductivity related
to such flat bands. In parallel, theory work has discovered that
superconductivity and superfluidity is determined by the quantum geometry and
topology of the band structure. These recent key developments are merging to a
flourishing research topic: understanding the possible connection and
ramifications of quantum geometry on the induced superconductivity and
superfluidity in moir\'e multilayer and other flat band systems. This article
presents an introduction to how quantum geometry governs superfluidity in
platforms including, and beyond, graphene. We explain how a new type of
topology discovered in TBG could affect superconductivity, pinpoint the
geometric contribution in its Beretzinskii-Kosterlitz-Thouless (BKT) critical
temperature, and mention moir\'e materials beyond TBG. Ultracold gases are
introduced as a complementary platform for quantum geometric effects and a
comparison is made to moir\'e materials. An outlook sketches the prospects of
twisted multilayer systems in providing the route to room temperature
superconductivity.
