Lidia Angeleri Hügel

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Seminar Homological Algebra

official webpage

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 the following paper
Jan Stovicek, Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves, in Advances in Representation Theory of Algebras (ICRA Bielefeld, Germany, 8-17 August, 2012), EMS Series of Congress Reports, European Mathematical Society Publishing House.

In January 2016, the reading course is complemented by a lecture series on
Discrete Derived Categories
delivered by David Pauksztello,University of Manchester.

Calendar (November 2015 - February 2016)

Moreover, there will be the following lecture series of the PhD-School Trento - Verona

Lecture series in April

Set theoretic methods in module theory
by Jan Trlifaj,Charles University Prague
April 10-18, 2016

Model Theoretic and Functor Theoretic Methods in Representation Theory
by Mike Prest,University of Manchester
April 3-16, 2016

Silting Theory
April 20-27, 2016

Tentative schedule (April 2016)