University of Cambridge > Talks.cam > Category Theory Seminar > On Fusion categories, gradings, and representations of Hopf algebras

On Fusion categories, gradings, and representations of Hopf algebras

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Nathan Bowler.

Fusion categories arise in several areas of mathematics, for example in the representation theory of finite dimension Hopf algebras and in topological quantum field theories. My goal in this talk will be to give an exposition to the theory of fusion categories, and to explain why the categorical point of view is very fruitful in the study of finite dimensional semisimple Hopf algebras. I will explain some basic notions in the field, such as module categories, dual categories, categorical centers and gradings. I will also explain what examples we have for fusion categories, and their connection to finite groups and their cohomology.

This is joint work with Evgeny Musicantov.

This talk is part of the Category Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity