Academic Transcript: "Generalized Holomorphic Bundles and the B-field Action"
Dr. Nigel Hitchin, Savilian Professor of Geometry Emeritus, University of Oxford
[00:00] Dr. Hitchin: Good morning, everyone. It's a pleasure to be here today to discuss some fascinating connections between seemingly disparate areas of geometry, namely complex and symplectic geometry, unified under the umbrella of generalized geometry. Our topic today is "Generalized Holomorphic Bundles and the B-field Action," a subject that has found profound resonance in both pure mathematics and theoretical physics, particularly in string theory.
[00:45] Dr. Hitchin: My aim is to demonstrate how certain transformations, known as B-field transformations, play a crucial role in preserving the underlying structures of generalized geometry. Specifically, we'll see how they preserve exact Courant algebroids and generalized complex structures, and how this offers a formally tractable framework for understanding the interplay between complex and sympl