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Yuki Koto (Academia Sinica) 
2026-04-27  14:50 - 15:50
Room 202, Astronomy and Mathematics Building

Abelian/Nonabelian Correspondence is a conjecture that relates quantum cohomology of a GIT quotient $V//G$ with that of the associated abelian quotient $V//T$, where $T$ is a maximal torus of $G$. Recently, Iritani formulated a conjectural Fourier transform that relates $QH_T(V)$ and $QH(V//T)$. In this talk, I will propose a nonabelian analogue of Iritani's Fourier transforms that relates $QH_G(V)$ and $QH(V//G)$, and explain its relation to Abelian/Nonabelian Correspondence. I will also explain that the conjecture holds for partial flag bundles and discuss its application. This talk is partly based on joint work with Ionut Ciocan-Fontanine.