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Seminars

Cohomology Seminar

Is there a reasonable abelian/non-abelian correspondence for higher genus GW invariants? II

2024/05/14 (Tue.) 14:00~15:30
  • Date : 2024/05/14 (Tue.) 14:00~15:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Ionut Ciocan-Fontanine (Institute of Mathematics, Academia Sinica)
  • Website : https://wiki.preschema.com/cohsem
  • Abstract : The abelian/non-abelian correspondence refers to expressing invariants of a GIT quotient X//G (with X quasiprojective and G reductive) via invariants of a corresponding “abelian” quotient X//T, with T a maximal torus in G. This is well-understood at the topological level (e.g, for cohomology rings), and has also been extended to genus zero Gromov-Witten theory (i.e., to quantum cohomology). I will explain the above story in the first part of the talk, while in the second I will ruminate about my unsuccessful efforts to uncover some version of the correspondence (which I believe to exist) in higher genus GW theory.
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