PIRSA:24120033

Double groupoids and Generalized Kahler structures

(2024). Double groupoids and Generalized Kahler structures. Perimeter Institute. https://pirsa.org/24120033

Double groupoids and Generalized Kahler structures. Perimeter Institute, Dec. 12, 2024, https://pirsa.org/24120033 

          @misc{ pirsa_PIRSA:24120033,
            doi = {10.48660/24120033},
            url = {https://pirsa.org/24120033},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Double groupoids and Generalized Kahler structures},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {dec},
            note = {PIRSA:24120033 see, \url{https://pirsa.org}}
          }
Marco Gualtieri
Talk numberPIRSA:24120033
DOI10.48660/24120033
Collection
Talk Type Scientific Series
Subject

Abstract

The underlying holomorphic structure of a generalized Kahler manifold has been recently understood to be a square in the double category of holomorphic symplectic groupoids (or (1,1)-shifted symplectic stacks). I will explain what this means and how it allows us to describe the generalized Kahler metric in terms of a single real scalar function, resolving a conjecture made by physicists Gates, Hull, and Rocek in 1984. This is based on joint work with Yucong Jiang and Daniel Alvarez available at https://arxiv.org/abs/2407.00831.