19227401 Lecture

SoSe 16: Monomideale

Alexandru Constantinescu

Additional information / Pre-requisites

Voraussetzung: Bachelor, Algebra 1 (Grundbegriffe aus der Kommutativen Algebra)

Comments

Das Ziel ist  homologische Grundeigenschaften von Monomidealen vorzustellen. Der Zusammenhang mit der diskreten Geometrie (Stanley-Reisner Ideale) wird auch präsentiert. Folgende Themen werden behandelt:

  • 1. Grundeigenschaften der Monomidealen
  • 2. Quadratfreie Monomideale und Simplizialkomplexe
  • 3. Hilbertfunktionen (Satz von Macaulay, Satz von Kruskal und Katona)
  • 4. Freie Auflösungen von Monomidealen (Taylor-Auflösung, Eliahou-Kervaire-Formel, Hochster-Formel)
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Suggested reading

  • [1.] J. Herzog, T. Hibi, Monomial ideals, Springer London 2011
  • [2.] E. Miller, B. Sturmfels, Combinatorial Commutative Algebra, (Vol 227)Springer Science and Business Media, 2005
  • [3.] R. Stanley, Combinatorics and  Commutative Algebra, second edition, Birkhäuser, 2004
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13 Class schedule

Regular appointments

Mon, 2016-04-18 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-04-25 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-05-02 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-05-09 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-05-23 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-05-30 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-06-06 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-06-13 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-06-20 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-06-27 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-07-04 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-07-11 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Mon, 2016-07-18 12:00 - 14:00

Lecturers:
Dr. Alexandru Constantinescu

Location:
A7/SR 031 (Arnimallee 7)

Subjects A - Z