Algebra and Combinatorics Seminar (Online)
- October 27, 2021
- 3:15 PM - 4:15 CST
- Zoom (online)
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Department of Mathematics and Statistics
Emily Peters, epeters3@luc.edu - 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.
