Organizers
Carlo Sircana und Isabel Stenger (Kaiserslautern)
Title
Combinatorial Commutative Algebra
Abstract
Literature
- Lectures on Polytopes, Günter M. Ziegler, Springer
- Combinatorial Commutative Algebra, Ezra Miller and Bernd Sturmfels, Springer
Date
Monday, March 12th, to Wednesday, March 14th
Location
Participants
Name |
---|
Ali Aslam |
Rina Dong |
Raul-Paul Epure |
Daniel Gromada |
Philipp Korell |
Felix Leid |
Lukas Ristau |
Emil Rotilio |
Simon Schmidt |
Ricardo Schnur |
Carlo Sircana |
Christian Steinhart |
Isabel Stenger |
Jayantha Suranimalee |
Andrea Thevis |
Schedule
Monday, 12th March | |
---|---|
10:30-11:00 | Registration |
11:00-12:00 | Gröbner bases: monomial orderings, properties and algorithm (Suri) |
12:00-13:30 | Lunch break |
13:30-15:00 | Introduction to homological algebra and graded algebras: Hilbert function, Betti numbers, Cohen-Macaulay rings and Tor functor (Andrea and Daniel) |
15:15-15:45 | Coffee break |
15:45-16:30 | Polytopes: Definition and main properties (Raul) |
16:45-17:30 | Squarefree Monomial Ideals (Lukas) |
17:45-18:30 | Exercises |
18:30 | Dinner |
Tuesday, 13th March | |
---|---|
9:30-11:30 | 3-Dimensional Staircases (Carlo and Ali) |
11:30-12:00 | Exercises |
12:00-13:30 | Lunch break |
13:30-14:15 | Borel-Fixed ideals (Christian) |
14:30-15:15 | Cellular resolutions I (Rina and Philipp) |
15:45-16:30 | Cellular resolutions II (Rina and Philipp) |
16:45-18:30 | Exercises |
18:30 | Dinner |
Wednesday, 14th March | |
---|---|
9:30-10:30 | Semigroup rings (Ricardo) |
10:30-11:30 | Multigraded polynomial rings (Emil) |
11:30-12:00 | Exercises |
12:00-13:15 | Lunch break |
13:15-15:00 | Toric varieties (Felix and Simon) |
15:15-16:00 | Plücker coordinates (Isabel) |
Some Impressions