Collection Resurgence in Mathematics and Physics
Organizer(s)
Date(s)
03/05/2024
Non-abelian Hodge Theory for Monopoles with Periodicity
Recently, we obtained equivalences between monopoles with periodicity and difference modules of various types, i.e., periodic monopoles and difference modules, doubly periodic monopoles and q-difference modules, and triply periodic monopoles and difference modules on elliptic curves.In this talk, we shall give a review on the equivalences. If possible, we would like to discuss some deeper aspects of the correspondences from non-abelian Hodge theoretic viewpoints.
