# Seminar on tensor categories

The philosophy is: Categories generalize (categorify) sets; categories
with additional structure should categorify sets with additional structure. In particular,
the notion of a tensor category and their categorical representations can be seen as a categorification
of rings and algebras and their
representations, making the rich story of rings and algebras even more interesting. The purpose of this
seminar is to understand how this works precisely.

### Contact

Daniel Tubbenhauer email

Please put [Seminar on tensor categories] as the subject.

### Online system of the UZH

Please register yourself online.

See also.
Click
or
click

### Who?

- Master students and upwards interested in a mixture of category theory, algebra and
representation theory.

### Where and when?

- Usual session:
- Every Monday from 15:15-17:00
- Room Y27H28, University Zurich, Institute of Mathematics
- First meeting: 19.Feb.2018

- Preliminary meeting:
- Monday, 5.Feb.2018, 15:15-17:00, Room Y27H28

- Summary:

### Schedule

- 19.Feb.2018,
**Speaker**: Andres, **Topic**: Abelian categories, basic notions, properties and examples & Functors between abelian categories
- 26.Feb.2018,
**Speaker**: Mariya, **Topic**: Monoidal categories and functors, basic properties and examples
- 05.Mar.2018,
**Speaker**: Mariya, **Topic**: Coherence and monoidal categories
- 12.Mar.2018,
**Speaker**: Mariya, **Topic**: Categorical groups and categorical actions
- 19.Mar.2018,
**Speaker**: Filippo, **Topic**: $\mathbb{Z}_+$-rings and their Perron-Frobenius dimensions
- 26.Mar.2018,
**Speaker**: Filippo, **Topic**: $\mathbb{Z}_+$-rings and their representations
- 09.Apr.2018,
**Speaker**: Nino, **Topic**: Tensor categories and tensor functors
- 16.Apr.2018,
**Speaker**: Nino, **Topic**: Traces and tensor subcategories
- 23.Apr.2018,
**Speaker**: Felix, **Topic**: Grothendieck rings and Perron-Frobenius dimensions of tensor categories
- 30.Apr.2018,
**Speaker**: Felix, **Topic**: Finite tensor categories and Perron-Frobenius revisited
- 07.May.2018,
**Speaker**: Raul, **Topic**: Module categories - basic constructions
- 14.May.2018,
**Speaker**: Raul, **Topic**: Module categories and $\mathbb{Z}_+$-modules

### Goals of the talks

Here is the detailed plan. Click