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Events

  • December 5, 2025

  • Colloquium Talk

  • A-501

  • Mathematics

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Colloquium Talk by Prof. B V Rajarama Bhat 

We are pleased to invite you to the upcoming Mathematics Department Seminar.

The details of the talk are as follows:
Title: Unitary orthonormal bases for finite dimensional inclusions
Date: Friday, 5th December, 2025
Speaker: Prof. B V Rajarama Bhat (Indian Statistical Institute, Bangalore)
Time: 4:00 PM – 5:00 PM
Venue: A501

Abstract:

We study unitary orthonormal bases in the sense of Pimsner and Popa for inclusions of finite dimensional von Neumann algebras with a prescribed conditional expectation map. These generalize complex Hadamard matrices and Weyl unitaries. The existence of unitary orthonormal bases has several applications in subfactor theory. We derive some interesting necessary conditions for the existence of such bases. Whether these conditions are sufficient is an open question. For some special cases, we provide explicit but intricate constructions of unitary orthonormal bases. This talk is based on a joint work with Keshab Chandra Bakshi.

Abstract Link 

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