Seminar Information |
During the 2005-2006 Winter Semester, I ran a weekly seminar discussing the core topics of combinatorial commutative algebra. An overview of the seminar can be found here.
The lectures from this seminar were also typed up. You can find them below. Please note that since these are lecture notes, all the details have not been provided. Some mistakes may also remain.
| Date | Title | Speaker | |
| 1/10/06 | 1. Introduction to Simplicial Complexes | A. Van Tuyl | Lecture 1 |
| 1/17/06 | 2. Kruskal-Katona's Theorem | A. Van Tuyl | Lecture 2 |
| 1/24/06 | 3. Stanley-Reisner Correspondence | A. Van Tuyl | Lecture 3 |
| 1/31/06 | 4. Cohen-Macaulay Rings I | A. Van Tuyl | Lecture 4 |
| 2/7/06 | 5. Cohen-Macaulay Rings II | A. Van Tuyl | Lecture 5 |
| 2/14/06 | 6. Facet Ideals | J. He | Lecture 6 |
| 2/28/06 | 7. Minimal Free Resolutions | A. Van Tuyl | Lecture 7 |
| 3/7/06 | 8. Reduced Simplicial Homology | A. Van Tuyl | Lecture 8 |
| 3/14/06 | 9. Hochster's Formula and an Example | A. Van Tuyl | Lecture 9 |
| 3/21/06 | 10. The resolution of an edge ideal of a tree | J. He | Lecture 10 |
References and Relevant Links |
- Seminar on
Stanley-Reisner rings.
These are lecture notes from a similar type of seminar held at the University of Minnoseta. The notes have been made available by Jeremy Martin -
National School on Algebra - Monomial Algebras
In 2003 there was a summer school in Romania on monomial algebras Many of the introductory lectures can be downloaded from this site.