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This is a graduate-level course in combinatorial theory.
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Description
The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.
Course content
- Basic Definitions, the Intersection Poset and the Characteristic Polynomial Unlimited
- Properties of the Intersection Poset and Graphical Arrangements Unlimited
- Matroids and Geometric Lattices Unlimited
- Broken Circuits, Modular Elements, and Supersolvability Unlimited
- Finite Fields Unlimited
- Separating Hyperplanes (Preliminary Version) Unlimited
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Instructor
Massachusetts Institute of Technology
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