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SUMMARY:Laura Pertusi (Università statale di Milano)
DTSTART:20200429T120000Z
DTEND:20200429T130000Z
DTSTAMP:20260423T010927Z
UID:AGSeminar/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSeminar/3/
 ">Stability conditions and moduli spaces for Kuznetsov components of Gushe
 l-Mukai varieties</a>\nby Laura Pertusi (Università statale di Milano) as
  part of Sapienza A&G Seminar\n\n\nAbstract\nA generic Gushel-Mukai variet
 y X is a quadric section of a linear section of the Grassmannian Gr(2\,5).
  Kuznetsov and Perry proved that the bounded derived category of X has a s
 emiorthogonal decomposition with exceptional objects and a non-trivial sub
 category Ku(X)\, known as the Kuznetsov component. In this talk we will di
 scuss the construction of stability conditions on Ku(X) and\, consequently
 \, on the bounded derived category of X. As applications\, for X of even-d
 imension\, we will construct locally complete families of hyperkaehler man
 ifolds from moduli spaces of stable objects in Ku(X) and we will determine
  when X has a homological associated K3 surface.\n\nThis is a joint work w
 ith Alex Perry and Xiaolei Zhao.\n
LOCATION:https://researchseminars.org/talk/AGSeminar/3/
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