中央研究院數學研究所

Cohomology Seminar

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

2024/04/30 (Tue.) 14:00~15:30

日期 : 2024/04/30 (Tue.) 14:00~15:30
地點 : 中研院數學所 638研討室 (台大校區)
主講人 : Ionut Ciocan-Fontanine (本所)
網站 : https://wiki.preschema.com/cohsem
演講摘要 : 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.