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SUMMARY:Derived categories of cubic fourfolds and non-commutative K3 surfa
 ces - Emanuele Macri (Northeastern)
DTSTART:20190227T141500Z
DTEND:20190227T151500Z
UID:TALK114760@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:The derived category of coherent sheaves on a cubic fourfold h
 as a subcategory which can be thought as the derived category of a non-com
 mutative K3 surface. This subcategory was studied recently in the work of 
 Kuznetsov and Addington-Thomas\, among others. In this talk\, I will prese
 nt joint work in progress with Bayer\, Lahoz\, Nuer\, Perry\, Stellari\, o
 n how to construct Bridgeland stability conditions on this subcategory. Th
 is proves a conjecture by Huybrechts\, and it allows to start developing t
 he moduli theory of semistable objects in these categories\, in an analogu
 e way as for the classical Mukai theory for (commutative) K3 surfaces. I w
 ill also discuss a few applications of these results.
LOCATION:CMS MR13
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