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SUMMARY:Qingyuan Jiang/姜清元 (University of Edinburgh)
DTSTART:20201227T060000Z
DTEND:20201227T070000Z
DTSTAMP:20260423T024747Z
UID:iccm2020/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/6/"
 >Derived categories and Chow theory of Quot-schemes of Grassmannian type</
 a>\nby Qingyuan Jiang/姜清元 (University of Edinburgh) as part of ICCM 
 2020\n\n\nAbstract\nQuot-schemes of Grassmannian type naturally arise as r
 esolutions of degeneracy loci of maps between vector bundles over a scheme
 . In this talk we will talk about the recent results on the relationships 
 of the derived categories and Chow groups among these Quot-Schemes. This f
 ramework provides a unified way to understand many known formulae such as 
 blowup formula\, Cayley's trick\, projectivization formula and formula for
  Grassmannain type flops and flips\, as well as provide new phenomena such
  as virtual flips. We will also discuss applications to the study of modul
 i of linear series on curves\, blowup of determinantal ideals\, generalise
 d nested Hilbert schemes of points on surfaces\, and Brill--Noether proble
 m for moduli of stable objects in K3 categories.\n
LOCATION:https://researchseminars.org/talk/iccm2020/6/
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