Vortragsverteilung

PD Dr. habil B. Kreußler
Dr. C. Lossen

Seminar
Homological Algebra and Applications

Die folgenden Vortragsthemen sind vorgesehen:

Thema : Referenz: Vortragende(r):

1. Extensions and Ext¹ [E] Ex. A.3.26, [CE] Ch. XIV Corina Baciu

2. The Koszul complex and regular sequences [GP] Ch. 7.6, [E] Thm. 17.4, Prop. 18.4 Anen Lakhal

3. Cohen-Macaulay rings and Auslander-Buchsbaum formula [GP] Ch. 7.7, [E] Thm. 19.9, [M] Thm. 19.1 Olexandra Daskovska

4. Computing the equidimensional parts using Ext [EHV] David Ilsen

5. Computing Syzygies and Resolutions [GP], Ch. 2.3, 2.5, [CLO] p. 102-106 ----

6. Introduction to the derived category [W] Bijan Afshordel

7. More about the derived category [W] Patrick Huber

8. Spectral sequences [W] Sergey Mozgovoy

Literatur:

[CE] H. Cartan, S. Eilenberg: Homological Algebra

[CLO] D. Cox, J. Little, D. O'Shea: Ideals, Varieties and Algorithms

[E] D. Eisenbud: Commutative Algebra with a View towards Algebraic Geometry

[EHV] D. Eisenbud, C. Huneke, W. Vasconcelos: Direct Methods for Primary Decomposition, Invent. Math. 110 (1992) 207-235

[GP] G.-M. Greuel, G. Pfister, A SINGULAR Introduction to Commutative Algebra

[M] H. Matsumura, Commutative Ring Theory

[W] C. Weibel, An Introduction to Homological Algebra

	Thema :	Referenz:	Vortragende(r):
1.	Extensions and Ext¹	[E] Ex. A.3.26, [CE] Ch. XIV	Corina Baciu
2.	The Koszul complex and regular sequences	[GP] Ch. 7.6, [E] Thm. 17.4, Prop. 18.4	Anen Lakhal
3.	Cohen-Macaulay rings and Auslander-Buchsbaum formula	[GP] Ch. 7.7, [E] Thm. 19.9, [M] Thm. 19.1	Olexandra Daskovska
4.	Computing the equidimensional parts using Ext	[EHV]	David Ilsen
5.	Computing Syzygies and Resolutions	[GP], Ch. 2.3, 2.5, [CLO] p. 102-106	----
6.	Introduction to the derived category	[W]	Bijan Afshordel
7.	More about the derived category	[W]	Patrick Huber
8.	Spectral sequences	[W]	Sergey Mozgovoy

[CE]	H. Cartan, S. Eilenberg: Homological Algebra
[CLO]	D. Cox, J. Little, D. O'Shea: Ideals, Varieties and Algorithms
[E]	D. Eisenbud: Commutative Algebra with a View towards Algebraic Geometry
[EHV]	D. Eisenbud, C. Huneke, W. Vasconcelos: Direct Methods for Primary Decomposition, Invent. Math. 110 (1992) 207-235
[GP]	G.-M. Greuel, G. Pfister, A SINGULAR Introduction to Commutative Algebra
[M]	H. Matsumura, Commutative Ring Theory
[W]	C. Weibel, An Introduction to Homological Algebra