PIRSA:19050014

Equivariant SYZ mirror construction

Lau, S. (2019). Equivariant SYZ mirror construction. Perimeter Institute. https://pirsa.org/19050014

Lau, Siu-Cheong. Equivariant SYZ mirror construction. Perimeter Institute, May. 13, 2019, https://pirsa.org/19050014 

          @misc{ pirsa_PIRSA:19050014,
            doi = {10.48660/19050014},
            url = {https://pirsa.org/19050014},
            author = {Lau, Siu-Cheong},
            keywords = {Mathematical physics},
            language = {en},
            title = {Equivariant SYZ mirror construction},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {may},
            note = {PIRSA:19050014 see, \url{https://pirsa.org}}
          }

Siu-Cheong Lau

Boston University

Talk number
PIRSA:19050014
Collection
Talk Type
Subject
Abstract

Strominger-Yau-Zaslow explained mirror symmetry via duality between tori.  There have been a lot of recent developments in the SYZ program, focusing on the non-equivariant setting.  In this talk, I explain an equivariant construction and apply it to toric Calabi-Yau manifolds.  It has a close relation to the equivariant open GW invariants found by Aganagic-Klemm-Vafa and studied by Katz-Liu, Graber-Zaslow and many others.