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).

Stability conditions

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

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. Uniqueness of dg enhancements in geometric contexts, Conference - AMS Summer Research Institute 2015 (Salt Lake City, July 2015) (video).
  2. Stability conditions on threefolds, II, Conference - New Techniques in Birational Geometry (Stony Brook University, Stony Brook, April 2015) (video).
  3. Stable ACM bundle on cubic threefolds and fourfolds, Workshop - Brill-Noether methods in the study of hyper-Kähler and Calabi-Yau manifolds (Hausdorff Intitute of Mathematics, Bonn, March 2014) (video).
  4. Fourier-Mukai functors in the supported setting, Conference - Derived categories in Algebraic Geometry (Steklov Mathematical Institute, Moscow, September 2011) (video).