This reading course is devoted to a geometric interpretation of certain finite dimensional algebras linking representation theory with geometry and mathematical physics.
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,
and a lecture series by Prof. Manolo Saorin, University of Murcia,
that will take place at the end of the course.
the students participate in the course and deliver a seminar talk.
Strada le Grazie 15
VAT number 01541040232
Italian Fiscal Code 93009870234
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