| Instructor | Graham Denham |
|---|---|
| Office hours | by appointment |
| Class times | MWF 9:30-10:20 |
| Class location | TBA |
Class times
The class will meet:
- Monday, Wednesday, Friday 9:30-10:20AM EST
Office hours by appointment in MC 118.
Reading
The textbook A Course in Convexity (Alexander Barvinok) is available in an electronic edition. The classic Convex Bodies: The Brunn-Minkowski Theory (Rolf Schneider) supplements some of the topics.
Syllabus
This is an introductory course -- the prerequisites are undergraduate-level analysis, topology, and linear algebra. Convex geometry is closely tied to applications in optimization; however, it is remarkable for its applications in other areas of mathematics, from combinatorics to algebraic geometry. Topics will include
- convex hulls: theorems of Caratheodory, Radon, and Helly
- cones, polyhedra and polytopes. Combinatorics of faces.
- convex sets and lattice points
- rational polytopes and the Ehrhart polynomial
- the algebra of polyhedra
- volumes, mixed volumes, quermassintegrals, and the Alexandrov-Fenschel inequalities
- Lorentzian polynomials
Evaluation
Evaluation will be based on class participation (10%); homework assignments (50%); a final exam (40%).
Please see the class OWL site for announcements, assignments, and more materials.
Postal Address
Department of Mathematics
Middlesex College
University of Western Ontario
London, ON N6A 5B7
Canada
Contact
| Email: |  |
| Phone: | +1 519 661 2111 x86512 |
| Office: | MC 118 |
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