# Winter 2019/2020 - Advanced Algebras/Hall Algebras

This is the course website for the S4A3 Graduate Seminar on Advanced Algebras/Hall Algebras in Winter 2019/2020.

## Instructors

### Instructors

Catherina Stroppel (stroppel@math.uni-bonn.de)
Jens Eberhardt (mail@jenseberhardt.com)
Matthew B. Young (myoung@mpim-bonn.mpg.de)

## Schedule

The seminar takes place every Thursday 4-6pm in SR N0.007 .

## Program

You can find the preliminary program here

4. The ghost behind everything: the running example: One should always be able to understand the katerial of each talk for the example $\mathsf{Vect}_{\mathbb{F}_q}$. This should be our running example where many things are rather easy, but often still enlightening and helpful for the general understanding.
5. The quantum parameter is called v: Because we used already q to denote the finite field $\mathbb{F}_q$ of $q$ elements, we have to use the notation $\operatorname{U}_v(\mathfrak{g})$ instead of the very common notation $\operatorname{U}_q(\mathfrak{g})$ in everything related to quantum groups. Please adapt this notation to avoid confusion. At the end of the course we will hopefully see why we nevertheless should call it $q$ or at least something similar... But it is very helpful to make the distinction clear until the point where we really understand the connection between this parameter and the cardinality $q$ of $\mathbb{F}_q$.