Homological algebra (seminar course) (2016/2017)

Course code
4S001439
Name of lecturer
Lidia Angeleri
Coordinator
Lidia Angeleri
Number of ECTS credits allocated
6
Academic sector
MAT/02 - ALGEBRA
Language of instruction
English
Period
II sem. dal Mar 1, 2017 al Jun 9, 2017.

Lesson timetable

Learning outcomes

This reading course is devoted to some topics in homological algebra and representation theory.

Prerequisites: Representation Theory.

Syllabus

Part 1
Lecture Series
COHEN–MACAULAY MODULES OVER GORENSTEIN LOCAL RINGS by RYO TAKAHASHI, Nagoya University

Part 2
Reading course
1. Appendix B of the Lecture Series
2. Associated primes and support
3. Krull's Principal Ideal Theorem
4. Depth and injective dimension over commutative local noetherian rings
5. Injective modules over commutative noetherian rings
6. The minimal injective resolution of a commutative noetherian rings
7. The Auslander-Buchsbaum Theorem

Part 3
Lecture Series
FINITISTIC DIMENSIONS FOR COMMUTATIVE NOETHERIAN RINGS
by DOLORS HERBERA, Universitat Autónoma de Barcelona

Reference books
Author Title Publisher Year ISBN Note
W. Bruns; J. Herzog Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics, 39 Cambridge University Press 1998
E.Enochs, O.Jenda Relative homological algebra I De Gruyter 2000

Assessment methods and criteria

the students participate in the course and deliver a seminar talk.

Teaching aids

Documents

Student opinions - 2015/2016


Statistics about transparency requirements (Attuazione Art. 2 del D.M. 31/10/2007, n. 544)

Data from AA 2016/2017 are not available yet