Mirror Construction for Nakajima Quiver Varieties

Explore a mathematical physics seminar that delves into the intricate relationship between quiver representation theory and mirror symmetry, focusing on the construction of Nakajima quiver varieties. Learn about the dual nature of quivers in relation to instantons and coherent sheaves through the ADHM construction, while examining their role in describing Lagrangian submanifold deformation spaces. Discover the concept of framed Lagrangian immersions and their connection to Maurer-Cartan deformation spaces, understanding how these mathematical structures relate to Nakajima quiver varieties and stacks. Gain insights into the ADHM construction as a mirror symmetry phenomenon through the collaborative research presented by Ju Tan, based on joint work with Jiawei Hu and Siu-Cheong Lau.