Seminar on Derived Categories
Dr.
Olaf Schnürer.
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
and derived
categories and
derived functors.
Many of the results we discuss are used at the end to understand
Keller's proof
of
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).
Talks
October 29:
Pagona Koulakidou:
Homotopy category of an additive category
November 5:
Jürgen Kanzler:
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:
Resolutions.
December 10:
Ester Cabezuela Fernández:
Non-functoriality of cones;
when is the derived category abelian?
December 17:
Patrick Berner:
Thomason's classification of dense strictly full
triangulated subcategories
January 7:
Tim Seynnaeve:
Happel's description of the derived category of a Dynkin quiver
January 14: David Hornshaw:
Classification of localising subcategories
January 21:
Thomas Czempik:
Derived functors and examples
January 28
Tashi Walde: t-structures
February 4: Benedikt Fluhr:
Bounded derived category of coherent sheaves on
projective space
February 6, 9:30am, room 1.006 (knock at the window if the main
doors are closed):
Matthias Koch:
Brown representability
February 6:
Felix Küng:
Compact objects, compactly generated triangulated
categories, compact and perfect objects
February 6:
Aras Ergus:
Morita theory for derived categories of algebras
February 11:
Stefano
Ariotta:
Model categories and derived categories
