MAT564: “Seminar Representation theory of $\mathfrak{sl}_2$”
Representation theory is an important and intensively studied area of modern
mathematics with applications to basically all major areas of mathematics and physics.
The aim of this seminar is to learn what representation theory is all about, with the
focus on the toy example of $\mathfrak{sl}_2$ where everything can be done explicitly.
Contact
Daniel Tubbenhauer email
Please put [Seminar sl2] as the subject.
Online System of the UZH
This website is up to date, and not the ones from the UZH.
However, please still register yourself online.
See also:
Click
Who?

Bachelor students, Master
students and upwards interested in a mixture of algebra and category theory.
In particular, students following the lecture
“Introduction to representation theory” by Anna Beliakova
Click,
Click.
(This seminar will start mid of March after the first concepts were
introduced in the lecture “Introduction to representation theory”.)
Where and when?
 Usual session:
 Every Monday from 10:1512:00
 Room Y27H28, University Zurich, Institute of Mathematics
 First meeting: 18.Mar.2019
 Preliminary meeting:
 Friday, 01.Feb.2019, 10:1512:00, Room Y27H28
 Summary:
 Mini presentation:
Schedule
 18.Mar.2019, Speaker: Mariya, Topic: The finitedimensional case I  the simples Notes (draft): Click
 25.Mar.2019, Speaker: Samuel, Topic: The finitedimensional case II  semisimplicity Notes (draft): Click
 01.Apr.2019, Speaker: Arno, Topic: The finitedimensional case III  unitarizability Notes (draft): Click
 08.Apr.2019, Speaker: Mariya, Topic: Universal enveloping algebra I  the PBW theorem Notes (draft): Click
 15.Apr.2019, Speaker: Daniel, Topic: Universal enveloping algebra II  the Cartan subalgebra Notes (draft): Click
 29.Apr.2019, Speaker: Mariya, Topic: Universal enveloping algebra III  the HarishChandra homomorphism Notes (draft): Click
 06.May.2019, Speaker: Daniel, Topic: Weight modules I  weight, Verma and dense modules Notes (draft): Click
 13.May.2019, Speaker: Mariya, Topic: Weight modules II  the simples Note: This talk is canceled
 20.May.2019, Speaker: Daniel, Topic: Weight modules II+III  the simples Notes (draft): Click
 27.May.2019, Speaker: Mariya, Topic: Outlook  category $\mathcal{O}$
Goals of the talks
Here is the detailed plan. Click