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Cohomology Seminar

Tropical cohomology and algebraic cycles

  • Date : 2024/05/21 (Tue.) 14:00~15:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Ryota Mikami (Institute of Mathematics, Academia Sinica)
  • Website : https://wiki.preschema.com/cohsem
  • Abstract : Tropical geometry is related to compactifications and degenerations of algebraic varieties. Tropical cohomology is a tropical analog of singular cohomology, and is much simpler than singular cohomology. I believe that tropical cohomology would be helpful to study cycle class maps. I will explain this story, including an algebraicity type result and a new cohomology theory (in progress), which is much better for our purpose.