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A duality web in 2+1 dimensions

I will discuss a web of field theory dualities in 2+1 dimensions that generalize the familiar particle/vortex duality. Some of these dualities relate theories of fermions to theories of bosons. Others relate different theories of fermions. Assuming some of these dualities, other dualities can be derived. I will mention several interesting applications of these dualities to condensed matter physics if time permits.