Forschungsseminar Arithmetische Geometrie

Organizers: Daniel Greb, Jochen Heinloth
Room: WSC-N-U-3.05

This term we will learn about Bridgeland stability conditions.

Detailed program: a pdf-file can be downloaded here.

Termin Vortragender Titel
9.4.2015, 10:15 Daniel Greb Introduction
16.4.2015, 10:15 Marc Levine Triangulated Categories
23.4.2015, 16:45 (!!!) Girja Tripathi Derived categories of coherent sheaves
30.4.2015, 10:15 Lorenzo Mantovani Fourier-Mukai transforms
7.5.2015, 10:15 no seminar, instead: Joint Seminar in Complex Algebraic Geometry and Complex Analysis
21.5.2015, 10:15 Stefan Heuver Derived category and canonical bundle
28.5.2015, 10:15 Jochen Heinloth Bridgeland’s proof of the 3-fold case, I
18.6.2015, 10:15 Daniel Greb Bridgeland’s proof of the 3-fold case, II
25.6.2015, 10:15 Thomas Poguntke Torsion theories and t-structures
2.7.2015, 10:15 Chiara Damiolini Stability conditions: definition and examples
9.7.2015, 10:15 Georg Hein Stability conditions on surfaces
16.7.2015, 10:15 Tim Kirschner Stability conditions and threefold flops


  • Tom Bridgeland: Flops and derived categories, Inv. Math. 147 (2002), 613-632; preprint: arXiv:math/0009053

  • Tom Bridgeland: Derived categories of coherent sheaves, International Congress of Mathematicians. Vol. II, 563–582, Eur. Math. Soc., Zürich, 2006. pdf

  • Daniel Huybrechts: Introduction to stability conditions, in: Moduli Spaces, London Math. Soc. Lecture Note Series, vol. 411, 2014; preprint: arXiv:1111.1745

  • Daniel Huybrechts: Fourier-Mukai transforms in algebraic geometry

  • Yokinobu Toda: Stability conditions and crepant small resolutions, Trans. Amer. Math. Soc. 360 (2008), 6149-6178; preprint: arXiv:math/0512648