Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

Study Plan

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

CURRICULUM TIPO:

1° Year 

ModulesCreditsTAFSSD
6
B
MAT/08
6
B
MAT/07
6
B
MAT/03
12
B
MAT/05
6
B
MAT/05
6
C
MAT/06

2° Year   activated in the A.Y. 2019/2020

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2019/2020
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
3 modules to be chosen among the following
6
C
MAT/03
6
C
MAT/08
6
C
MAT/02
6
C
MAT/02
6
C
MAT/06
6
C
MAT/05
6
C
INF/01
6
C
MAT/09
6
C
MAT/08
6
C
MAT/07
6
C
MAT/08
Between the years: 1°- 2°
To be chosen between
6
B
MAT/02
6
B
MAT/02
Between the years: 1°- 2°
12
D
-
Between the years: 1°- 2°
Other activities
4
F
-

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Representation theory (2018/2019)

Teaching code

4S001099

Credits

6

Coordinator

Lidia Angeleri

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

MoodleMoodle Seminars 0

The teaching is organized as follows:

Teoria 2

Credits

3

Period

II semestre

Academic staff

Lidia Angeleri

Lessons timetable
Teoria 1

Credits

2

Period

II semestre

Academic staff

Francesca Mantese

Lessons timetable
Esercitazioni

Credits

1

Period

II semestre

Academic staff

Rosanna Davison Laking

Lessons timetable

Learning outcomes

The course provides a first introduction to the representation theory of quivers, an important branch of modern algebra with connections to geometry, topology and theoretical physics.

Program

Quivers, representations, the path algebra. Categories and functors, module categories. Filtrations: Theorems of Schreier and Jordan-Hoelder. Direct sum decomposition, theorem of Krull-Remak-Schmidt. Homological algebra: pushout, pullback, Ext, complexes, homology. Auslander-Reiten-theory. Algebras of finite and of tame representation type.

Bibliography

Reference texts
Activity Author Title Publishing house Year ISBN Notes
Teoria 2 Joseph J. Rotman An introduction to homological algebra Academic Press  
Teoria 2 I. Assem, D. Simson, A. Skowronski Elements of the representation theory of associative algebras Cambridge University Press 2006
Teoria 2 M.Auslander, I.Reiten, S.O. Smalø Representation theory of artin algebras (Edizione 2) Cambridge University Press 1997
Teoria 2 F.W. Anderson, K.R. Fuller Rings and categories of modules (Edizione 2) Springer 1992
Teoria 1 J.J. Rotman An introduction to homological algebra (Edizione 2) Academic Press 2009 0-12-599250-5
Teoria 1 I. Assem, D. Simson, A. Skowronski Elements of the representation theory of associative algebras Cambridge University Press 2006
Teoria 1 M.Auslander, I.Reiten, S.O. Smalø Representation theory of artin algebras (Edizione 2) Cambridge University Press 1997
Teoria 1 F.W. Anderson, K.R. Fuller Rings and categories of modules (Edizione 2) Springer 1992

Examination Methods

The exam consists of a written examination. The mark obtained in the written examination can be improved by the mark obtained for the homework and/or by an optional oral examination. Only students who have passed the written exam will be admitted to the oral examination.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents