Description
After some introductory lectures on basic Lie theory, we will move on to the study of representations of simple Lie algebras, departing from particular examples towards a general framework. We will follow the book "Representation theory: a first course" by W. Fulton and J. Harris, from which the students are required to choose a chapter which they should present. I encourage you to look further into the subjects, though, so any reference can be used.

Evaluation
I will explain the basic prerequisites on Lie theory. The following meetings will be based on student presentations. The goal is to learn how to use representation theory, and for that one needs to...use them! So I will prepare one or two simple exercises for each lecture (from which the speaker is excused). The final mark is computed by 70%*(presentation mark)+30%*(exercises mark).

Prerequisites
Linear algebra. Some basic differential geometry can be useful. This course is suitable for bachelor/master students from mathematics and physics. The seminar will be taught in English.

Organization
Interested students should come to the organizational meeting on Wednesday 15.10.2014, HS 6 or send me an email and let me know what project you would like to carry out. There will be some lectures the first weeks covering the basics in Lie theory. I will be available during office hours to discuss the projects in more detail and help you during the preparation of your presentation.

Exercises: Sheet 1, Sheet 2 , Sheet 3, Sheet 4, Sheet 5.

Schedule

Date	Time	Speaker	Title	Building	Room
3.12.2014	11:15am	Danilo Ciaffi	Representations of sl(2,C)	INF 288	HS4
10.12.2014	11:15am	Benedetta Cavalli	Representations of sl(n,C)
17.12.2014	11:15am	Ingolf Bischer	Representations of so(n,C)
28.01.2015	11:15am	Simon Hirscher	The adjoint representation
04.02.2015	11:15am	Yannick Krifka	Representations of compact groups

References
Fulton and Harris: Representation theory: a first course
Knapp: Lie groups beyond an introduction (for Lie theory)