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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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