数学科学学院

辛拓扑与物理讨论班——Global Kuranishi Charts for Moduli Spaces of Pseudoholomorphic Bordered Riemann Surfaces

来源:数学科学学院 发布时间:2024-06-03   10

报告人:Sam Bardwell-Evans(Institute for Basic Science)


时间:2024年6月4日,14:00-16:00


地点:海纳苑2幢106室


摘要:Moduli spaces of pseudoholomorphic curves, discs, and other bordered Riemann surfaces have been central to symplectic geometry since the works of Gromov and Floer in the 1980s. These moduli spaces are in general highly singular and require some regularization to be useful. One of the main techniques for this regularization is the Kuranishi structure technique pioneered by Fukaya-Ono and Fukaya-Oh-Ohta-Ono. This technique is very powerful, but can be quite difficult to use. Recently, Abouzaid-McLean-Smith developed a simple class of Kuranishi structures, called Global Kuranishi Charts, for the case of moduli spaces of curves (without boundary). In this talk, we discuss an upcoming construction of Global Kuranishi Charts for moduli spaces of general pseudoholomorphic bordered Riemann surfaces.


联系人:吴惟为(wwwu9693@zju.edu.cn)

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