Speaker: Peng Zhou (UC Berkeley)

Title: Variation of GIT quotients and Variation of Lagrangian skeletons

Abstract: Just as one can compute the cohomology of a smooth manifold using Morse theory with different Morse functions, one can compute the partially wrapped Fukaya category of a Weinstein pair using microlocal sheaf theory with different Lagrangian skeletons. In the setup of mirror symmetry for toric GIT quotient, we give an explicit interpolation between various Lagrangian skeletons using the notion of windows subcategory in VGIT. This is based on works https://arxiv.org/abs/2011.03719 and https://arxiv.org/abs/2011.06114 (with Jesse Huang).