Spin model subfactors

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Quantum Algebra & Quantum Topology Seminar
November 2, 2021
2:00PM - 3:00PM
Location
Zoom

Date Range
Add to Calendar 2021-11-02 14:00:00 2021-11-02 15:00:00 Spin model subfactors Title:  Spin model subfactors Speaker:  Michael Montgomery (Vanderbilt University) 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.     Zoom Department of Mathematics math@osu.edu America/New_York public
Description

Title:  Spin model subfactors

Speaker:  Michael Montgomery (Vanderbilt University)

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.
 

 

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