Text:
Mirrors and Reflections - The Geometry of Finite Reflection Groups
by Alexandre Borovik and Anna Borovik
Springer (Universitext series) ISBN 978-0-387-79065-7
Tentative Syllabus:
Date | Speakers | Sections | Topics |
---|---|---|---|
1/20 | Robert Wilson | 2.2 3.1-3 |
Isometries of Affine Euclidean Space Hyperplane Arrangements |
1/27 | Roe Goodman | 4.1-5 | Polyhedral Cones |
2/03 | Itai Feigenbaum Mark Kim |
Ch. 5 6.1-2 |
Mirrors and Reflections Systems of Mirrors; Finite Reflection Groups |
2/10 | Darlayne Addabbo Diana Oliff |
7.1-3 | Dihedral Groups |
2/17 | Emily Sergel Kristen Lew |
8.1-4 | Root Systems |
2/24 | Ken Klose Hung-Chang Liao Asya Pritsker |
9.1-4 | Classical Root Systems |
3/03 | Emily Sergel Diana Oliff |
Ch. 10 11.1 11.3 |
Chambers Generation of W by Simple Reflections Galleries and Paths |
3/10 | Darlayne Addabbo Asya Pritsker Hung-Chang Liao |
11.2 11.4-6 |
Folding Simple Transitivity of W on Chambers |
3/24 | Itai Feigenbaum Mark Kim Kristen Lew |
12.1-4 | Coxeter Complex Isotropy Groups |
3/31 | Mark Kim Kristen Lew |
12.5 13.1-6 |
Parabolic Subgroups Residues and their Mirror Systems Convexity and Gate Property of Residues Opposite Chamber of a Residue |
4/07 | Emily Sergel Ken Klose |
15.1-2 16.1 16.2 |
Generators and Relations for Reflection Groups Coxeter Graph Decomposible Reflection Groups |
4/14 | Darlayne Addabbo Ken Klose |
16.3-4 | Classification of Positive Definite Coxeter Graphs |
4/21 | Hung-Chang Liao Diana Oliff |
17.1-9 | Construction of A-G Root Systems |
4/28 | Asya Pritsker Itai Feigenbaum |
17.10 Ch. 18 |
Crystallographic Condition Orders of Reflection Groups |
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