Reading Group on G=SL2(Fq), Winter 2012

We will read through the book "Representations of SL2(Fq)" by Cédric Bonnafé.

Time and Place: Mondays, 4pm-5:30pm, in the Colloquium Room, McHenry 4130.

Part I: Prelimiaries.
Chapter 1: Structure of G. (Benjamin Sambale, Jan 23/30)
Chapter 2: The Geometry of the Drinfeld Curve. (Alex Beloi, Jan 30/Feb 6)

Part II: Ordinary Characters.
Chapter 3: Harish-Chandra Induction. (Shawn O'Hare, Feb 13)
Chapter 4: Deligne-Lusztig Induction. (TBA)
Chapter 5: The Character Table. (TBA)

Part III: Modular Representations.
Chapter 6: More about Characters of G and of its Sylow Subgroups. (TBA)
Chapter 7: Unequal Characteristic: Generalities. (TBA)
Chapter 8: Unequal Characteristic: Equivalences of Categories. (TBA)
Chapter 9: Unequal Characteristic: Simple Modules, Decomposition Matrices. (TBA)
Chapter 10: Equal Characteristic. (TBA)

Part IV: Complements.
Chapter 11: Special Cases. (TBA)
Chapter 12: Deligne-Lusztig Theory: An Overview. (TBA)

Material from the Appendix and further necessary preliminaries will be included where necessary.


boltje at ucsc dot edu; Janurary 30, 2012