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.

This information is intended exclusively for students already enrolled in this course.
If you are a new student interested in enrolling, you can find information about the course of study on the course page:

Laurea magistrale in Mathematics - Enrollment from 2025/2026

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

2° Year   activated in the A.Y. 2021/2022

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2021/2022
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
1 module between the following
Between the years: 1°- 2°
1 module between the following 
Between the years: 1°- 2°
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.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S001099

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

Period

II semestre dal Mar 1, 2021 al Jun 11, 2021.

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

The entire course will be available online. In addition, all the lessons will be held in-class.

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.

The course consists of front lessons and classroom exercises. Moreover optional tutoring activities are offered. In particular, weekly home exercises are given. They are individually corrected by a tutor and discussed during the exercise hours.

Reference texts
Author Title Publishing house Year ISBN Notes
J.J. Rotman An introduction to homological algebra (Edizione 2) Academic Press 2009 0-12-599250-5
I. Assem, D. Simson, A. Skowronski Elements of the representation theory of associative algebras Cambridge University Press 2006
M.Auslander, I.Reiten, S.O. Smalø Representation theory of artin algebras (Edizione 2) Cambridge University Press 1997
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.

The exam is aimed at verifying the full maturity of demonstrative techniques and the ability to read and understand advanced topics of representation theory.

The assessment methods could change according to the academic rules. The remote mode is however guaranteed for all students who will ask for it in the academic year 2020/21.

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