Speaker: Remus Nicoara (UTK)

Title: The moduli space of commuting squares

Abstract: Commuting squares arise as invariants and construction data in Jones’ theory of subfactors. In an attempt to understand the structure of the moduli space of commuting squares, we ask the following question: When is a commuting square the limit of a sequence of non-isomorphic commuting square? To answer this, we develop a method of taking higher order directional derivatives of the commuting square relations. We also present applications to the theory of Hadamard matrices.