Hikita-Nakajima conjecture for ADHM space.
Pavel Shlykov (University of Glasgow)
Wednesday 11th October, 2023 16:00-17:00 Maths 110
Abstract
Symplectic duality is an observation that symplectic resolutions tend to come in pairs with matching geometric properties.
Equivariant Hikita-Nakajima conjecture is one such statement, which connects the geometric and algebraic properties of symplectically dual pairs.
In this talk I try to explain, what is usually meant by the symplectic duality, provide some examples, explain the conjecture in the case of Hilbert scheme of n points on $\mathbb{C}^2$ and (if time permits) will shortly discuss the generalization of it for the ADHM space. The talk is based on a joint work with Vasily Krylov ( arXiv:2202.09934).
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