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 10:15-12:00
- Room Y27H28, University Zurich, Institute of Mathematics
- First meeting: 18.Mar.2019
- Preliminary meeting:
- Friday, 01.Feb.2019, 10:15-12:00, Room Y27H28
- Summary:
- Mini presentation:
Schedule
- 18.Mar.2019, Speaker: Mariya, Topic: The finite-dimensional case I - the simples Notes (draft): Click
- 25.Mar.2019, Speaker: Samuel, Topic: The finite-dimensional case II - semisimplicity Notes (draft): Click
- 01.Apr.2019, Speaker: Arno, Topic: The finite-dimensional 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 Harish-Chandra 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 $\mathcal{O}$ Notes (draft): Click
Goals of the talks
Here is the detailed plan. Click
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 10:15-12:00
- Room Y27H28, University Zurich, Institute of Mathematics
- First meeting: 18.Mar.2019
- Preliminary meeting:
- Friday, 01.Feb.2019, 10:15-12:00, Room Y27H28
- Summary:
- Mini presentation:
Schedule
- 18.Mar.2019, Speaker: Mariya, Topic: The finite-dimensional case I - the simples Notes (draft): Click
- 25.Mar.2019, Speaker: Samuel, Topic: The finite-dimensional case II - semisimplicity Notes (draft): Click
- 01.Apr.2019, Speaker: Arno, Topic: The finite-dimensional 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 Harish-Chandra 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 $\mathcal{O}$ Notes (draft): Click
Goals of the talks
Here is the detailed plan. Click
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 10:15-12:00
- Room Y27H28, University Zurich, Institute of Mathematics
- First meeting: 18.Mar.2019
- Preliminary meeting:
- Friday, 01.Feb.2019, 10:15-12:00, Room Y27H28
- Summary:
- Mini presentation:
Schedule
- 18.Mar.2019, Speaker: Mariya, Topic: The finite-dimensional case I - the simples Notes (draft): Click
- 25.Mar.2019, Speaker: Samuel, Topic: The finite-dimensional case II - semisimplicity Notes (draft): Click
- 01.Apr.2019, Speaker: Arno, Topic: The finite-dimensional 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 Harish-Chandra 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 $\mathcal{O}$ Notes (draft): Click
Goals of the talks
Here is the detailed plan. Click