I will describe a construction of some non-commutative algebras of geometric significance arising in recent work in supersymmetric gauge theory, defined by relations on a free quiver algebra coming from a single cyclic element called the superpotential. These algebras often have pleasant homological properties, and have connections to toric geometry and the 3-dimensional McKay correspondence (among many other things).
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After the seminar we will be taking the speaker to lunch at the Grandstand Bar.