NCMW - Cohen Macaulay simplicial complexes in graph theory (2023)
Speakers and Syllabus
Syllabus:
| Speaker and affiliation | Number of Lectures | Detailed Syllabus |
| Manoj Kummini CMI | 4 | Stanley-Reisner ring of a simplicial complex, Cohen-Macaulay condition, edge and cover ideals of graphs, splitting monomial ideals and Fröberg’s theorem, component-wise linearity. |
| Priyavrat Deshpande CMI | 4 | Discrete Morse theory. Cohen-Macaulay, shellable and vertex decomposable complexes from a topological perspective. |
| Anurag Singh IIT Bhilai | 4 | Simplicial complexes associated with graphs; neighborhood complexes, independence com- plexes, matching complexes and their generaliza- tions. Topological invariants of these complexes and their connections to graph theory. |
Time Table
Time-table(with names of speakers and tutors):
| Day | Date | Lecture 19.30–11.00 |
Tea | Lecture 2 11.30–1.00 |
Lunch | Tutorial 2.30–3.30 |
Tea | Tutorial 4.00-5.00 |
Snacks |
| Mon | 10/7/2023 | AS | PD | AS+1 | PD+1 | ||||
| Tue | 11/7/2023 | AS | PD | AS+1 | PD+1 | ||||
| Wed | 12/7/2023 | MK | AS | AS+1 | MK+1 | ||||
| Thu | 13/7/2023 | MK | PD | PD+1 | MK+1 | ||||
| Fri | 14/7/2023 | MK | AS | PD+1 | AS+1 | ||||
| Sat | 15/7/2023 | MK | PD | AS+1 | PD+1 |
AS: Anurag Singh; MK: Manoj Kummini; PD: Priyavrat Deshpande.