A gentle introduction to (modular tensor) categories


Ros Camacho, A. (2021). A gentle introduction to (modular tensor) categories. Perimeter Institute. https://pirsa.org/21020039


Ros Camacho, Ana. A gentle introduction to (modular tensor) categories. Perimeter Institute, Feb. 24, 2021, https://pirsa.org/21020039


          @misc{ pirsa_PIRSA:21020039,
            doi = {10.48660/21020039},
            url = {https://pirsa.org/21020039},
            author = {Ros Camacho, Ana},
            keywords = {Mathematical physics},
            language = {en},
            title = {A gentle introduction to (modular tensor) categories},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {feb},
            note = {PIRSA:21020039 see, \url{https://pirsa.org}}

Ana Ros Camacho Cardiff University


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.