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:

2° Year   activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
6
B
MAT/05
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
6
B
MAT/05
Modules Credits TAF SSD
Between the years: 1°- 2°
One course to be chosen among the following
Between the years: 1°- 2°
Between the years: 1°- 2°
Other activitites
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

4S001439

Coordinator

Lidia Angeleri

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

Period

I semestre dal Oct 1, 2015 al Jan 29, 2016.

Learning outcomes

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

Prerequisites: Representation Theory.

Program

The first result we discuss states that the category of representations of the Kronecker algebra is derived equivalent to the category of coherent sheaves over the projective line.

We then study the construction of exact model structures together with the connections to cotorsion pairs and approximation theory. We discuss several applications, including the construction of monoidal model structures for the derived category of quasi-coherent sheaves of modules over a scheme. This part of the course is based on a paper by Jan Stovicek.

The last part of the course is devoted to an introduction to silting theory.

The reading course is complemented by some lecture series.
January 2016:
Discrete Derived Categories, by David Pauksztello, University of Manchester.
Aprile 2016:
Set theoretic methods in module theory, by Jan Trlifaj, Charles University Prague.
Model Theoretic and Functor Theoretic Methods in Representation Theory, by Mike Prest,University of Manchester.

More details are available on
http://profs.sci.univr.it/~angeleri/Homological algebra.html

Reference texts
Author Title Publishing house Year ISBN Notes
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

Examination Methods

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

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