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
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 2025/2026The 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.
1° Year
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One course chosen from the following
One course chosen from the following
2° Year activated in the A.Y. 2013/2014
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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One course chosen from the following
One course chosen from the following
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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One course chosen from the following
One course chosen from those that will be activated from the following
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.
Representation theory (2012/2013)
Teaching code
4S001099
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/02 - ALGEBRA
The teaching is organized as follows:
Teoria
Esercitazioni
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.
Examination Methods
The exam consists of a written examination and of an optional oral examination.
Teaching materials e documents
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BIBLIOGRAPHY (it, 70 KB, 9/28/12)
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COURSE ORGANIZATION (it, 52 KB, 9/28/12)
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Esercizi - Foglio 1 (it, 88 KB, 10/25/12)
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Esercizi - Foglio 2 (it, 96 KB, 11/9/12)
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Esercizi - Foglio 3 (it, 99 KB, 11/18/12)
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Esercizi - Foglio 4 (it, 103 KB, 12/13/12)
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Esercizi - Foglio 5 (it, 59 KB, 1/17/13)
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note corso (it, 243 KB, 11/9/12)
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note corso - parte 2 (it, 531 KB, 1/23/13)
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vecchi esami (it, 84 KB, 1/10/13)
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vecchi esami - soluzioni 1 (it, 1546 KB, 1/10/13)
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vecchi esami - soluzioni 2 (it, 824 KB, 1/10/13)