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Sino-Russian Mathematics Center-JLU Colloquium (2026-027)-Quantization of minimal nilpotent orbits and the quantum Hikita conjecture

发表于: 2026-10-08   点击: 

报告题目:Quantization of minimal nilpotent orbits and the quantum Hikita conjecture

报告人:Xiaojun Chen

所在单位:New Uzbekistan University

报告时间:October 8, 2026, 20:00-21:00

报告地点:Zoom Id: 904 645 6677,Password: 2026

报告摘要:In the past two decades 3d N=4 mirror symmetry has been widely studied by physicists and mathematicians. It is also closely related to symplectic duality proposed by Braden et al. One of the conjectures in this field, initiated by Hikita, says that the cohomology of one symplectic manifold is isomorphic to the coordinate ring of the torus-fixed scheme of its symplectic dual. In this talk we show a quantum version of Hikita’s conjecture between Kleinian singularities and the corresponding nilpotent orbits. This talk is based on a joint work with Weiqiang He and Sirui Yu.

报告人简介:Prof. Xiaojun Chen is a mathematician specializing in noncommutative geometry, representation theory, and algebraic geometry. Over the past decade, he has held academic positions and engaged in collaborative research across China and internationally. He is widely recognized for his work on Calabi-Yau algebras, Poisson structures, and derived categories. Throughout his career, Prof. Chen has co-authored numerous high-impact papers and mentored early-career researchers in mathematical physics and pure mathematics.