Seminario de Categorías

Colleen Delaney, Indiana University of Bloomington

Abstract: I’ll give an overview of the zesting construction on ribbon fusion categories through the lens of topological phases of matter and topological quantum computation. In particular, we'll see that Reshetekhin-Turaev invariants of knots and links transform in a nice way under zesting. As an application I will explain how zesting gives a new way to understand Mignard and Schauenburg's ``modular isotopes” -- examples of different modular categories with the same modular data.

This talk is based on joint work with Parsa Bonderson, Cesar Galindo, Sung Kim, Julia Plavnik, Eric Rowell, Alan Tran, Zhenghan Wang, and Qing Zhang.

https://sites.google.com/im.unam.mx/seminario-de-categorias-unam/inicio