  In solid materials, nontrivial topological states, electron correlations, and
magnetism are central ingredients for realizing quantum properties, including
unconventional superconductivity, charge and spin density waves, and quantum
spin liquids. The Kagome lattice, made up of connected triangles and hexagons,
can host these three ingredients simultaneously and has proven to be a fertile
platform for studying diverse quantum phenomena including those stemming from
the interplay of these ingredients. In this review, we introduce the
fundamental properties of the Kagome lattice as well as discuss the complex
observed phenomena seen in several emergent material systems such as the
intertwining of charge order and superconductivity in some Kagome metals,
modulation of magnetism and topology in some Kagome magnets, and symmetry
breaking with Mott physics in the breathing Kagome insulators. We also
highlight many open questions in the field as well as future research
directions of Kagome systems.
