Double Groupoids and Generalized Kahler Structures

Explore the intricate world of generalized Kahler structures in this 59-minute lecture by Marco Gualteri from the University of Toronto. Delve into the recent understanding of the underlying holomorphic structure as a square in the double category of holomorphic symplectic groupoids. Gain insights into the interpretation of this concept and discover how it enables the description of the generalized Kahler metric using a single real scalar function. Learn about the collaborative research conducted with Yucong Jiang and Daniel Alvarez, shedding light on the fascinating intersection of complex geometry and mathematical physics.