PIRSA:21020039 Conference Mathematical physics

DOI10.48660/21020039

Conference/School: Women at the Intersection of Mathematics and Theoretical Physics

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}}
}

Abstract

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.

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