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Geometric Representation Theory Seminar | A Plucker coordinate mirror for flag varieties and quantum Schubert calculus

来源: 04-18

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时间:Friday, 2:00-3:30 pm April 19, 2024

地点:B627 Shuangqing Complex Building A

组织者:Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su

主讲人:Mingzhi Yang (Sun Yat-sen University)

Abstract:

I will give an elementary talk on a new interpretation of Rietsch's mirror for flag varieties of type A, which enables us to prove the mirror symmetry prediction that the first Chern class is mapped to the superpotential under the isomorphism between the quantum cohomology ring and the Jacobi ring. Ideas of the proof will be shown in explicit examples, using techniques mainly from Linear Algebra. This talk is based on a recent work joint with Changzheng Li, Konstanze Rietsch, and Chi Zhang, and our paper is available on arxiv: 2401.15640.

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