Homological methods in representation theory (seminar course) (2012/2013)

Course code
4S001111
Name of lecturer
Lidia Angeleri
Coordinator
Lidia Angeleri
Number of ECTS credits allocated
6
Academic sector
MAT/02 - ALGEBRA
Language of instruction
Italian
Location
VERONA
Period
II semestre, I semestre

Lesson timetable

Learning outcomes

This reading course is devoted to a geometric interpretation of certain finite dimensional algebras linking representation theory with geometry and mathematical physics.

Syllabus

The main result we will discuss states that the category of representations of the Kronecker algebra is derived equivalent to the category of coherent sheaves over the projective line. If time permits, we will also discuss the generalization to weighted projective lines.


The reading course is complemented by two lecture series:

An introduction to derived module categories
Prof. Dr. Steffen König, University of Stuttgart
that will take place in March 2013,
see http://profs.sci.univr.it/~angeleri/erasmus2013koenig

and a lecture series by Prof. Manolo Saorin, University of Murcia,
that will take place at the end of the course.

Assessment methods and criteria

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