19246401
Lecture
SoSe 22: Combinatorics & Commutative Algebra
Christian Haase
Comments
Methods of commutative algebra in (enumerative) combinatorics.
A selection of the following topics:
- Stanley-Reisner theory
- Monomial ideals and their resolutions
- Gröbner-bases and generic initial ideals
- Alexander-duality
- Toric ideals and monoid rings
- Hilbert-sieries
- Dimension, depth, Cohen-Macaulay
- local cohomology, canonical module, Gorenstein, duality
- Lefschetz elements, Kähler-package, unimodaliy
Suggested reading
[MS] Miller, Sturmfels: Combinatorial Commutative Algebra; Springer GTM 227.
[S] Stanley: Combinatorics an Commutative Algebra; Birkhäuser PM41.
[BG] Bruns, Gubeladze: Polytopes, Rings, and K-Theory; Springer SMM
[AY] Adiprasito, Yashfe: The Partition Complex: an invitation to combinatorial commutative algebra; arXiv:2008.01044 [math.CO]
27 Class schedule
Additional appointments
Tue, 2022-08-23 13:00 - 18:30Oral Exams: Kombinatorik & kommutative Algebra
Regular appointments
Tue, 2022-04-19 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-04-26 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-05-03 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-05-10 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-05-17 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-05-24 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-05-31 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-06-07 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-06-14 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-06-21 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-06-28 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-07-05 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-07-12 14:00 - 16:00
Kombinatorik & kommutative Algebra
Tue, 2022-07-19 14:00 - 16:00
Kombinatorik & kommutative Algebra
Thu, 2022-04-28 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-05-05 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-05-12 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-05-19 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-05-26 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-06-02 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-06-09 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-06-16 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-06-23 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-06-30 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-07-07 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-07-14 10:00 - 14:00
Kombinatorik & kommutative Algebra
Thu, 2022-07-21 10:00 - 14:00
Kombinatorik & kommutative Algebra