Buildings and Classical Groups
| Overview | Assignments | Home |
|---|
| Overview | Assignments | Home |
|---|
| Date | Sections | Topics |
|---|---|---|
| 4 Jan | 1.1 - 1.3 | Coxeter Groups and Geometric Realization |
| 6 Jan | 1.4 | Roots |
| 8 Jan | 1.5 - 1.6 | Generalized reflections |
| 11 Jan | 1.7 - 1.8 | Exchange and Deletion conditions, Bruhat order |
| 13 Jan | 1.8 | Bruhat order |
| 15 Jan | 1.9 | Special subgroups of Coxeter groups |
| 18 Jan | No class | Martin Luther King day |
| 20 Jan | 3.1 | Chamber Complexes |
| 22 Jan | 3.1, 3.2 | Chamber complexes |
| 25 Jan | 3.3 | Foldings, walls, reflections |
| 27 Jan | 3.3, 3.4 | Coxeter complexes |
| 29 Jan | 3.4 | Coxeter complexes |
| 1 Feb | 3.5 | Characterization of Coxeter complexes via foldings |
| 3 Feb | 3.5 | Characterization of Coxeter complexes via foldings |
| 5 Feb | 3.5, 3.6 | Finishing Tits's proof and Deletion Condition in Chamber Complexes |
| 8 Feb | Definition of a building | |
| 10 Feb | Labelability and links | |
| 12 Feb | Retracts and distances | |
| 15 Feb | Strongly transitive automorphism groups | |
| 17 Feb | Example: GL_3 and the chamber system associated to a building | |
| 19 Feb | Stabilizers and the Bruhat decomposition | |
| 22 Feb | BN-pairs and special subgroups | |
| 24 Feb | The building associated to a BN-pair | |
| 26 Feb | Example: GL_n | |
| 1 Mar | Example: Sp_n | |
| 3 Mar | Example: SL_n over a field with a discrete valuation | |
| 5 Mar | Example: SL_n over a field with a discrete valuation | |
| 8 Mar | Hecke Operators on buildings |
Last modified by
T. R. Shemanske on 9 March 1999
Graphics by The Gimp