Lectures in geometric combinatorics

IAS/Park City Mathematics Institute

Preface

ch. 1. Abstract algebra : groups, rings and fields

ch. 2. Convex polytopes : definitions and examples

ch. 3. Faces of polytopes

ch. 4. Schlegel diagrams

ch. 5. Gale diagrams

ch. 6. Bizarre polytopes

ch. 7. Triangulations of point configurations

ch. 8. The secondary polytope

ch. 9. The permutahedron

ch. 10. Abstract algebra : polynomial rings

ch. 11. Gröbner bases 1

ch. 12. Gröbner bases 2

ch. 13. Initial complexes of toric ideals

ch. 14. State polytopes of toric ideals

Bibliography

Index.