Seminar on Derived Categories
Time: Thursday, 16.15-18.00
Location: Seminar room N0.008, Mathematik-Zentrum, Endenicher Allee 60.
The aim of this seminar is to become familiar with triangulated
Many of the results we discuss are used at the end to understand
Rickard's Morita theorem.
Please prepare your talk early on so that we can discuss it at
the latest one week before you give it, for example after the
previous talk. Please
provide detailed proofs rather than sketches (as far as
possible; if needed, you can have more time).
Homotopy category of an additive category
Definition and elementary properties of triangulated
categories, stable category of a Frobenius exact category
November 12: Anna Mkrtchyan: More properties of triangulated categories
November 19: Fabian Lenzen:
Verdier localization and derived categories.
November 26: no seminar
December 3: Silvia Cavadas:
Ester Cabezuela Fernández:
Non-functoriality of cones;
when is the derived category abelian?
Thomason's classification of dense strictly full
Happel's description of the derived category of a Dynkin quiver
January 14: David Hornshaw:
Classification of localising subcategories
Derived functors and examples
Tashi Walde: t-structures
February 4: Benedikt Fluhr:
Bounded derived category of coherent sheaves on
February 6, 9:30am, room 1.006 (knock at the window if the main
doors are closed):
Compact objects, compactly generated triangulated
categories, compact and perfect objects
Morita theory for derived categories of algebras
Model categories and derived categories