The Quantum Symmetries Seminar is a seminar organized and run by graduate students, for graduate students. The goal of the seminar is to provide graduate students with a space in which to share and discuss topics within the framework of the algebraic presentation of quantum symmetries. The emphasis of the seminar is in clarity and good understanding of the material.

The structure of the seminar consists of weekly meetings on

• Tuesdays in Zoom Meeting 943 9665 2471, at 10:00 am,

please contact the organizers for the password.

This semester we will be continuing the reading of Jens Carsten Jantzen's Lectures on Quantum Groups and Andrew Schopieray's Lie Theory for Fusion Categories: a Research Primer that was started during the Fall 2020 Quantum Symmetries Seminar. We have the task of understanding the representation theory of quantized enveloping algebras of simple Lie algebras.

Errata to Jantzen's lectures can be found in:

• Errata to Lectures on Quantum Groups (1st Edition) by Jens Carsten Jantzen.
• Errata to Lectures on Quantum Groups (2nd Edition) by Jens Carsten Jantzen.

Some useful facts about universal enveloping algebras (as well as about the basics of finite dimensional representations of semisimple Lie algebras) can be found in:

• Representation theory of semisimple Lie Algebras by Dan Ciubotaru.

A book that may be helpful to deepen into the material covered is:

• Representations of Algebraic Groups by Jens Carsten Jantzen.

The past editions of the Quantum Symmetries Seminar were:

• Fall 2020.
• Fall 2019.