|Wednesday||1:30 PM - 3:30 PM||lesson||Lecture Hall M||from Nov 4, 2015 to Jan 29, 2016|
This reading course is devoted to some topics in homological algebra and representation theory.
Prerequisites: Representation Theory.
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.
Discrete Derived Categories, by David Pauksztello, University of Manchester.
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
|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|
the students participate in the course and deliver a seminar talk.
Strada le Grazie 15
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Italian Fiscal Code 93009870234
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