Feb 22 – 25, 2021
Perimeter Institute
America/Toronto timezone

A gentle introduction to (modular tensor) categories

Feb 24, 2021, 10:00 AM
25m
Perimeter Institute

Perimeter Institute

Speaker

Ana Ros Camacho (Cardiff University)

Description

In this talk we will introduce categories, a notion that packages mathematical objects of any kind and provides an abstract language to study them. We will build up our way towards so-called modular tensor categories, which roughly speaking are categories with a tensor product, duals, and quite a bit of extra categorical structure. They arise in (rational) conformal field theory and its study poses many interesting questions on their classification, internal structure and generalizations. I will give an overview of these questions and some current lines of research in this topic.

Presentation materials

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