Algebra and Combinatorics Seminar (Online)

  • October 27, 2021
  • 3:15 PM - 4:15 CST
  • Zoom (online)
  • Emily Peters,
  • Not open to the public.
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  • Details

    Speaker: Michael R. Montgomery (Vanderbilt)

    Title: Spin model subfactors

    Abstract: Complex Hadamard matrices generate a class of irreducible hyperfinite subfactors with integer Jones index coming from spin model commuting squares. I will prove a theorem that establishes a criterion implying that these subfactors have infinite depth. I then show that Paley type II and Petrescu's continuous family of Hadamard matrices yield infinite depth subfactors. Furthermore, infinite depth subfactors are a generic feature of continuous families of complex Hadamard matrices. In this talk I will present an outline for the proof of these results.