October 14
Nicola Carissimi
Introduction to triangulated categories
Seminar archive · Fall 2021
A collaborative seminar organized across the universities of Bologna, Chemnitz, and Nancy, working from the foundations of derived categories toward projectivity and birational geometry of moduli spaces.
Bridgeland stability conditions form a far-reaching framework for studying moduli spaces and birational geometry. The seminar began with a self-contained introduction to triangulated and derived categories, then developed the language of stability, walls and chambers, moduli spaces, and the positivity lemma.
Our final objective was to reach Theorem 1.3 of Bayer and Macrì’s Projectivity and Birational Geometry of Bridgeland moduli spaces.
Videos of the talks are hosted on YouTube with private visibility. If you are interested in watching them, please contact one of the organizers to request access.
October 14
Nicola Carissimi
Introduction to triangulated categories
October 21
Simone Billi
The derived category of coherent sheaves
October 28
Luca Giovenzana
Stability conditions on abelian categories
November 4
Franco Giovenzana
Definition of Bridgeland stability
November 18
Valeria Bertini
The manifold of stability conditions
November 25
Yulieth Prieto
Tilting and torsion pairs
December 9
Francesco Denisi
Walls and chambers
December 16
Mihai-Cosmin Pavel
Moduli spaces and stacks
January 20
Augustinas Jakovskis
Positivity lemma
January 27
Yagna Dutta
The main theorem