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
close

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]

close

27 Class schedule

Additional appointments

Tue, 2022-08-23 13:00 - 18:30
Oral Exams: Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/ 024 Seminarraum (Arnimallee 3-5)

Regular appointments

Tue, 2022-04-19 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-04-26 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-05-03 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-05-10 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-05-17 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-05-24 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-05-31 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-06-07 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-06-14 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-06-21 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-06-28 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-07-05 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-07-12 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Tue, 2022-07-19 14:00 - 16:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A3/019 Seminarraum (Arnimallee 3-5)

Thu, 2022-04-28 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-05-05 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-05-12 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-05-19 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-05-26 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-06-02 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-06-09 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-06-16 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-06-23 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-06-30 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-07-07 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-07-14 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Thu, 2022-07-21 10:00 - 14:00
Kombinatorik & kommutative Algebra

Lecturers:
Univ.-Prof. Dr. Christian Haase

Location:
A6/SR 007/008 Seminarraum (Arnimallee 6)

Subjects A - Z