The third annual Oxford Women and Non-Binary People in Mathematics Day (OxWIM Day) ran very successfully on the 28th of February in the Andrew Wiles Building. This year’s theme was ‘Shaping Success’ and explored the many ways underrepresented genders can define their own success within a mathematical career.
Introducing Functional Analytic Tensor Categories
Abstract
This talk will provide an overview of the landscape of bicommutant categories, these are tensor categories with a strong functional-analytic flavour. I will discuss the evolution of the definition (and give the current version of the definition) and explain precisely how they categorify von Neumann algebras, in the same way a tensor category can be viewed as a categorification of an algebra. We will also introduce the string-calculus that renders the coherences in the definition transparent and workable.
The necessary background from functional analysis (in particular, operator theory) will be reviewed, and I will conclude with open questions (if waiting for the end of talk is not your style, there are 75 Open problems on André’s website).
The Oxford Maths Festival is returning for 2026!
For any students due to sit their exams in Weeks 4-9 of Trinity term in a 'small room' venue, this venue will be St Luke's Chapel, just outside the Mathematical Institute.
It's the Week 7 Student Bulletin!