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Gromov's cancellation question in algebraic geometry

  • Date : 2024/08/20 (Tue.) 15:30~16:30
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Evgeny Shinder (The University of Sheffield)
  • Abstract : I explain some cancellation and non-cancellation phenomena in algebraic geometry and relate them to the structure of the Grothendieck ring of varieties and to the groups of birational self-maps of algebraic varieties, in particular the Cremona groups. This is an overview of the work of many people, including Hassett--Lai, Kontsevich--Tschinkel, and Lin--Shinder.