Lagrangian Floer theory of Gelfand–Cetlin systems

In this talk, we will first explain a combinatorial description of Lagrangian fibers of Gelfand-Cetlin systems and then explain how bulk deformations of Lagrangian Floer cohomology produce a continuum of nondisplaceable Lagrangian tori. If time permits, I will indicate some aspect of homological mirror symmetry of Gelfand–Cetlin systems. This talk is based on a joint work with Yunhyung Cho and Yoosik Kim.