Going beyond rigidity in tensor categories

Date(s): Wednesday 1st May 2024 (14:00-15:00)
Contact: Event Convenor Contact: Robert.Laugwitz@nottingham.ac.uk
Description: Speaker's Name: Simon Wood
Speaker's Affiliation: University of Cardiff
Speaker's Research Theme(s): Quantum mathematics,
Abstract:
Rational conformal field theory or, more specifically, its algebraic axiomatisation in the form of rational vertex algebras is a well studied source of modular tensor categories. These enjoy many nice properties including a duality structure called rigidity. However, not all vertex algebras are rational and hence the categories of modules need not admit rigid duality structures. The natural duality for this more general class of vertex algebras is called Grothendieck-Verdier duality, which I will discuss in this talk together with some instructive examples and recent results. No prior knowledge of vertex algebras will be assumed.

Venue: C05

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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