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November 2, 2021
2:00PM - 3:00PM
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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.
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OSU ASC Drupal 8
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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
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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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