Derived categories of cubic fourfolds and non-commutative K3 surfaces
Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces January 31, 2019 - February 08, 2019
Location: SLMath: Eisenbud Auditorium
Bridgeland stability conditions
K3 surfaces
cubic fourfolds
14G12 - Hasse principle, weak and strong approximation, Brauer-Manin obstruction [See also 14F22]
14K10 - Algebraic moduli of abelian varieties, classification [See also 11G15]
14P20 - Nash functions and manifolds [See also 32C07, 58A07]
18D15 - Closed categories (closed monoidal and Cartesian closed categories, etc.)
26-macri
The derived category of coherent sheaves on a cubic fourfold has a subcategory which can be thought as the derived category of a non-commutative K3 surface. This subcategory was studied recently in the work of Kuznetsov and Addington-Thomas, among others. In this talk, I will present joint work in progress with Bayer, Lahoz, Nuer, Perry, Stellari, on how to construct Bridgeland stability conditions on this subcategory. This proves a conjecture by Huybrechts, and it allows to start developing the moduli theory of semistable objects in these categories, in an analogue way as for the classical Mukai theory for (commutative) K3 surfaces. I will also discuss a few applications of these results.
 |
Notes
|
Download |
26-macri
| H.264 Video | 862_25967_7609_26-Macri.mp4 |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.