BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Laura Pertusi
DTSTART:20211116T150000Z
DTEND:20211116T160000Z
DTSTAMP:20260423T021301Z
UID:Freemath/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/65/
 ">Serre-invariant stability conditions and cubic threefolds</a>\nby Laura 
 Pertusi as part of Free Mathematics Seminar\n\n\nAbstract\nStability condi
 tions on the Kuznetsov component of a Fano threefold of Picard rank 1\, in
 dex 1 and 2 have been constructed by Bayer\, Lahoz\, Macrì and Stellari\,
  making possible to study moduli spaces of stable objects and their geomet
 ric properties. In this talk we investigate the action of the Serre functo
 r on these stability conditions. In the index 2 case and in the case of GM
  threefolds\, we show that they are Serre-invariant. Then we prove a gener
 al criterion which ensures the existence of a unique Serre-invariant stabi
 lity condition and applies to some of these Fano threefolds. Finally\, we 
 apply these results to the study of moduli spaces in the case of a cubic t
 hreefold X. In particular\, we prove the smoothness of moduli spaces of st
 able objects in the Kuznetsov component of X and the irreducibility of the
  moduli space of stable Ulrich bundles on X. These results come from joint
  works with Song Yang and with Soheyla Feyzbakhsh and in preparation with 
 Ethan Robinett.\n
LOCATION:https://researchseminars.org/talk/Freemath/65/
END:VEVENT
END:VCALENDAR