3D mirror symmetry and equivariant Lagrangian correspondence (25frg013)

The Banff International Research Station will host the “3D mirror symmetry and equivariant Lagrangian correspondence” Focussed Research Group in Banff from October 12 - 19, 2025.

3D mirror symmetry is a duality between three dimensional supersymmetric N=4 field theories. Mathematically, it is a duality between a pair of holomorphic symplectic manifolds in different dimensions, which asserts an equivalence between the categories of their geometric objects, namely, the holomorphic Lagrangian branes.

The aim of this workshop is to utilize the better-understood geometric methods, in particular Lagrangian Floer theory and 2D mirror symmetry, to understand and prove some of the predictions of 3D mirror symmetry. Equivariant theory is particularly important here, since non-trivial holomorphic symplectic manifolds mostly involve group symmetry.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta’s Advanced Education and Technology.