Speaker:  Ju Tan (Boston University)

Title: Deformation spaces of Lagrangian immersions and quiver varieties.

Abstract: Quiver possesses a rich representation theory, deeply connected to instantons and coherent sheaves as illuminated by the ADHM construction and the works of many others. Besides, quivers also capture the formal deformation space of a Lagrangian submanifold. In this talk, we will discuss these relations from the perspective of SYZ mirror symmetry. In particular, we will introduce the framed Lagrangian immersions, the Maurer-Cartan deformation spaces of which are Nakajima quiver varieties. If time permits, we will discuss our ongoing projects on the Hecke correspondence and Nakajima's raising operators. This is based on the joint work with Jiawei Hu and Siu-Cheong Lau, and an ongoing project with Siu-Cheong Lau.