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SUMMARY:Stability conditions on free abelian quotients - Hannah Dell\, Uni
 versity of Edinburgh
DTSTART:20230602T150000Z
DTEND:20230602T160000Z
UID:TALK198556@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:Stability conditions on triangulated categories were introduce
 d by Tom Bridgeland in 2007. He showed that the space of stability conditi
 ons on a given triangulated category can be viewed as a complex manifold\,
  giving us a way to extract geometry from homological algebra. However\, a
 n explicit description of the stability manifold is only known in a few ca
 ses.\n\nIn this talk\, I will introduce Bridgeland stability conditions an
 d discuss two approaches to studying stability conditions on surfaces that
  are free quotients by finite abelian groups. One method is via Le Potier 
 functions\, which characterise the existence of slope-semistable vector bu
 ndles. The second method uses Deligne’s notion of group actions on trian
 gulated categories.
LOCATION:MR14
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