BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Qingyuan Jiang (University of Edinburgh)
DTSTART:20230426T083000Z
DTEND:20230426T093000Z
DTSTAMP:20260422T155159Z
UID:HKUST-AG/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/9/"
 >Derived projectivizations and Grassmannians and their applications</a>\nb
 y Qingyuan Jiang (University of Edinburgh) as part of Algebra and Geometry
  Seminar @ HKUST\n\nLecture held in CYTG001.\n\nAbstract\nWe will explore 
 some applications of the Derived Algebraic Geometry (DAG)\, a powerful fra
 mework developed by Toen-Vezzosi\, Lurie and many others. DAG allows us to
  extend Grothendieck’s theory of projectivizations and Grassmannians of 
 sheaves to the cases of complexes. This derived extension is very useful f
 or constructing and studying moduli spaces\, especially when the spaces ar
 e singular and difficult to analyze in the classical framework. We will di
 scuss the constructions of derived projectivizations and Grassmannians as 
 well as their properties\, with a focus on their applications to Abel maps
  for singular curves and Hecke correspondences for smooth surfaces. \nBase
 d on papers arXiv:2202.11636 and arXiv:2212.10488 and works in preparation
 .\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/9/
END:VEVENT
END:VCALENDAR