Slides


Derived categories (introduction) and Fourier-Mukai functors

  1. Derived categories and stability structures (Hamburg, September 2009), slides (pdf) or beamer presentation (pdf).
  2. Fourier-Mukai functors: existence (Bologna, September 2011), slides (pdf) or beamer presentation (pdf).


Cubic hypersurfaces

  1. Derived categories and cubic hypersurfaces (Roma, February 2011), slides (pdf) or beamer presentation (pdf).


Deformations, orientation and derived Torelli theorems

  1. Deformations of K3 surfaces and orientation, slides (pdf) or beamer presentation (pdf).
  2. Equivalences of K3 Surfaces: Deformations and Orientation, slides (pdf) or beamer presentation (pdf).
  3. Equivalences of K3 Surfaces and Orientation II - The Projective Case, slides (pdf) or beamer presentation (pdf). (Talk given in Salamanca.)
  4. Equivalences of K3 Surfaces and Orientation, slides (pdf) or beamer presentation (pdf). (This version includes the final result in arXiv:0710.1645.)
  5. Derived Torelli Theorem and Orientation, slides (pdf) or beamer presentation (pdf). (This version does not include the final result in arXiv:0710.1645.)


Stability conditions

  1. Inducing stability conditions, slides (pdf) or beamer presentation (pdf).
  2. Stability conditions on generic K3 surfaces (pdf).


Twisted derived categories

  1. Derived Torelli Theorem and Orientation (Part 1 - the twisted case), slides (pdf) or beamer presentation (pdf).
  2. A Twisted Derived Torelli Theorem for K3 surfaces, slides (pdf) or beamer presentation (pdf).
  3. Twisted derived categories and K3 surfaces (pdf).
  4. Categorie derivate twistate e superfici K3, Italian, talk delivered at the conference "Giornate di Geometria Algebrica e Argomenti Correlati VIII", Trieste, Italy (May 2006) (pdf).



Videos


  1. Fourier-Mukai functors in the supported setting, Conference - Derived categories in Algebraic Geometry (Steklov Mathematical Institute, Moscow, September 2011) (video).