  In this course, we will discuss dualities in 2+1 dimensions. We begin by
briefly reviewing the physics of 1+1d T-duality and bosonization, and discuss
flux attachment and the dual photon in 2+1d. Then, we introduce 2+1d
particle-vortex duality, bosonization and their associated web of dualities.
This includes discussing more elaborate Abelian dualities, including self-dual
theories and quiver theories. Next, we move on to non-Abelian physics,
discussing QCD in three dimensions and more. This done, we will discuss the
relation of these dualities to SUSY dualities, lattice physics, and large N
physics; and finally, we present the application of one of the Abelian
dualities to quantum Hall physics. These lecture notes are expanded from
lectures delivered at XIV Modave Summer School in Mathematical Physics in
September 2018.
