Organizers: Dietmar Bisch and Jesse Peterson
Fridays, 4:10-5:30pm central (For European speakers: 11:30am-12:50pm central)
In SC 1431 for local speakers (For external speakers: Zoom Meeting ID: 943 9395 6397)
- Date: 9/3/21
- Srivatsav Kunnawalkam Elayavalli, Vanderbilt University
- Title: Strong 1-boundedness for Property T von Neumann algebras
Abstract: Ben Hayes, David Jekel and myself showed recently that all von Neumann algebras with a finite Kazhdan set are strongly 1-bounded. I will present this result and its proof.
- Date: 9/10/21
- Ishan Ishan, Vanderbilt University
- Title: Von Neumann equivalence and weak forms of amenability
The notion of von Neumann equivalence, which generalizes both measure equivalence and W*-equivalence, was introduced recently by Jesse Peterson, Lauren Ruth, and myself. We showed that many analytic properties, such as amenability, property (T), the Haagerup property, and proper proximality are preserved under von Neumann equivalence. In this talk, I will present my new work expanding the list of properties stable under von Neumann equivalence. In particular, we will discuss the stability of weak amenability, weak Haagerup property, and the approximation property (of Haagerup and Kraus) under von Neumann equivalence.
- Date: 9/17/21
- Date: 9/24/21
- Date: 10/1/21
- Michael Montgomery, Vanderbilt University
- 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.
- Date: 10/8/21
- Date: 10/15/21
- Date: 10/22/21
- Date: 10/29/21 (11:30am -12:50pm central)
- Date: 11/5/21
- Date: 11/12/21
- Date: 11/19/21
- Date: 11/26/21
- No meeting, Thanksgiving break
- Date: 12/3/21
- Date: 12/10/21
- End of Fall Semester.
Past NCGOA and Subfactor seminars
NCGOA home page
VU math department's calendar
Dietmar Bisch's home page
Jesse Peterson's home page