Overview | Assignments | Home |
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Date | Sections | Topics |
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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