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DTSTAMP:20260517T052923Z
SUMMARY:Junior Geometry Seminar –  Chunkai Xu (Warwick)
DESCRIPTION:Title: Bridgeland Stability Conditions: Constructions and Relat
 ions to Gieseker Stability\nSpeaker: Chunkai Xu (Warwick)\n\n\n\n\n\n\nAbs
 tract: Since Bridgeland’s foundational work\, stability conditions on tr
 iangulated categories have become a central tool in algebraic geometry\, w
 ith important applications to moduli spaces\, wall-crossing\, and derived 
 categories. However\, constructing Bridgeland stability conditions on the 
 derived category of a smooth projective variety has remained a difficult p
 roblem for more than two decades. Until recently\, the main general constr
 uctions were largely confined to varieties of dimension at most three. In 
 a recent preprint\, Chunyi Li proves the existence of Bridgeland stability
  conditions on the bounded derived category of any smooth projective varie
 ty over C.\nIn this talk\, I will first introduce the definition of Bridge
 land stability conditions and discuss some basic examples. I will then rev
 iew the main ideas behind their construction\, with particular emphasis on
  Li’s recent approach. If time permits\, I will also discuss ongoing wor
 k aimed at relating Bridgeland stability conditions to more classical noti
 ons of stability for coherent sheaves\, especially Gieseker stability.\n\n
 \n\n\n\n\n\n \n\n\n\n\nSome snacks will be provided before and after the 
 talk.\nGo to the seminar main page.\nSubscribe to the mailing list.\n
URL:https://www.imperial.ac.uk/events/209643/junior-geometry-seminar-chunka
 i-xu/
DTSTART;TZID=Europe/London:20260522T173000
DTEND;TZID=Europe/London:20260522T183000
LOCATION:Room 140\, Huxley Building\, South Kensington Campus\, Imperial Co
 llege London\, London\, SW7 2AZ\, United Kingdom
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