SYZ Mirror Symmetry and its Applications (22frg503)


(Boston University)

Conan Leung (Chinese University of Hong Kong)


The Banff International Research Station will host the "SYZ Mirror Symmetry and its Applications" workshop in Banff from August 14, 2022 to August 21, 2022.

Mirror symmetry is a deep duality between symplectic geometry and complex geometry. It has made striking predictions on enumerative geometry, and has motivated amazing developments in algebraic and symplectic geometry. The Strominger-Yau-Zaslow approach to mirror symmetry has made a very successful progress in explaining mirror symmetry in terms of Lagrangian torus fibrations.

In this workshop, we will discuss new developments and applications of SYZ mirror symmetry by combining the various analytic and Floer theoretical techniques found in recent years, including mirror construction via Fukaya isomorphisms, mirror symmetry of pairings, equivariant Lagrangian Floer theory and Lagrangian correspondence, quiver algebroid stacks, hypertoric varieties. Moreover, we will investigate emerging links between noncommutative geometry and networks widely used in data science.

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), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).