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【学术报告】Derived categories and Chow theory of Quot-schemes of Grassmannian type

  • 主讲人：Jiang Qingyuan (University of Edinburgh)
  • 时间：周五17:00，2020-06-26
  • 地点：online

Beijing-Novosibirsk seminar on geometry and mathematical physics （online seminar）

摘要（Abstract） 

Quot-schemes of Grassmannian type naturally arise as resolutions of degeneracy loci of maps between vector bundles over a scheme. In this talk we will discuss the relationships of the derived categories and Chow groups among these Quot-Schemes. This provides a unified way to understand many known formulae such as blowup formula, Cayley's trick, projectivization formula, Grassmannian bundles 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 moduli of linear series on curves, blowup of determinantal ideals, generalized nested Hilbert schemes of points on surfaces, and Brill--Noether problem for moduli of stable objects in K3 categories.
 

Download Slides: https://disk.pku.edu.cn:443/link/E89CA08FEABF9D84D2569EE6B5529037
Valid Until: 2020-07-31 23:59

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