• Archive of Seminar Lectures
• Archive of Abstracts

WS 2003/04

• Reading Course on: Comodules over Coalgebras

SS 2003: Reading Courses

• Lin-Peng: 2-extended Affine Lie Algebras
  dvi-file
  Estimate: 7 lectures, May 2003 (maybe with some additional reports).

  Lecture	Chapter	Lecturer	Date
  1	2	Dong	09.05.
  2	3	Wufu	16.05.
  3	4 + Chapter 5.1	Hille	16.05.
  4	5 Remaining parts	Anh	23.05.
  5	6.1 , 6.2 (with proof of Prop. 6.2)	Asashiba	23.05.
  6	6 Remaining parts	Schmidt	13.06.
  7	7	Holtmann	06.06.

  The paper presupposes some knowledge concerning derived categories. It has been proposed that there are some additional lectures outlining basic results on derived categories. When preparing any of the lectures, please collect all the definitions and results on derived categories needed for an understanding.

• A. Kleshchev:
  Representations of symmetric groups and Lie theory
  A hardcopy of the paper is available in V5-222.
  Scheduled for June-July 2003.

  Lecture	Title	Chapter	Pages	Lecturer	Date
  1	Basis Theorem and Center	2a-2d	4-6	Brüstle	06.06.
  2	Parabolic Subalgebras and Mackey	2e-2g	6-8	Soriano	13.06.
  3	Duality	2h-2i	8-10	Farnsteiner	13.06.
  4	Generalized Eigenspaces	3a-3b	11-12	Pucinskaite	20.06.
  5	Kato's Theorem	3c-3d	12-15	Beineke	20.06.
  6	Socle Multiplicities	4a	16-18	Schmidt	04.07.
  7	Crystal Operators	4b	18-19	Holtmann	04.07.
  8	Independence of Characters	4c-4d	19-20	Wufu	11.07.
  9	Alternative descriptions	4e	20-21	Hubery	11.07.
  10	Irreducible Induced Modules	5a	22-23	Soriano	25.07.
  11	Calculations for small rank	5b	23-25	Liu	25.07.

von Markus Reineke lesen. Die Arbeit ist elektronisch unter www.ams.org/ert publiziert.

Hier ist die von Andrew ausgearbeitete detaillierte Beschreibung der Vorträge.

Vortragseinteilung

Sommersemester 2002

"Galois Coverings"

Vorträge:

Compact Seminar on Recent Trends in Representation Theory

• From September 11 to October 17, 2002
• Every Wednesday and Thursday, 13:15 - 17:00

• Since we would like the topics to be studied to reflect the current interests of the participants, we invite the participants of the seminar to propose topics.
• A topic can consist of (parts of) one or several papers the proposer has studied; it does not have to be recent work by the proposer.
• In the proposal she or he should subdivide the material to be covered into talks, each of which taking about 20-30 minutes. (We realize that it is difficult to anticipate the duration of a talk.)
• Once the talks have been distributed among the participants of the seminar, the proposer may give a short introductory lecture concerning the main aspects of the topic.

Topics:

• A First Glance at the Kac-Weisfeiler conjectures  (Rolf Farnsteiner)
• Self-injective Koszul algebras   (Dag Madsen)
• PRIMES is in P  (Thomas Brüstle)
• Branching rules  (Marcos Soriano)

Sommersemester 2001, Wintersemester 2001/2002

Affine Lie algebras and quantum groups

1. Cartan datum, Lie algebras, Hall algebras
   Comparison of various definitions of Hall algebras.
   Responsible: Guhe, Brüstle, Hille.
   
2. Hall functors, reflections, quivers of finite type
   FMV, sections 3,4.
   Responsible: Holtmann, Li.
   
3. Quivers of affine type
   FMV, section 5
   Responsible: Jensen, Ringel.

Hecke algebras

Ab Mitte Mai

• Vorträge von Götz Pfeifer: Introduction to Finite Coxeter Groups, Iwahori-Hecke Algebras and Computer Programs
• Vorträge von J.M. Douglass: Representations of Affine Hecke Algebras
• Vorträge von Gus Lehrer: Diagrammatic Methods in Representation Theory.
  1. A diagrammatic approach to the affine Hecke algebras of classical type.
  2. Diagrammatic endomorphism algebras of classical and quantum types and Schur-Weyl-Brauer duality.