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SUMMARY:Derived categories of cubic fourfolds and non-commutative K3 surfa
ces
DTSTART;VALUE=DATE-TIME:20190419T083000Z
DTEND;VALUE=DATE-TIME:20190419T093000Z
DTSTAMP;VALUE=DATE-TIME:20190921T192435Z
UID:indico-event-4575@indico.math.cnrs.fr
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-c
ommutative K3 surface. This subcategory was studied recently in the work
of Kuznetsov and Addington-Thomas\, among others. In this talk\, I will p
resent joint work with Bayer\, Lahoz\, Nuer\, Perry\, Stellari\, on how t
o construct Bridgeland stability conditions on this subcategory. This pro
ves a conjecture by Huybrechts\, and it allows to start developing the mo
duli theory of semistable objects in these categories\, in an analogue wa
y as for the classical Mukai theory for (commutative) K3 surfaces. I will
also discuss a few applications of these results.\n\nhttps://indico.math
.cnrs.fr/event/4575/
LOCATION:ICJ 112
URL:https://indico.math.cnrs.fr/event/4575/
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