Generalized Complex Branes, Doubling, and Shifted Symplectic Geometry, Part I

Explore a symplectic approach to generalized complex geometry in this lecture by Tony Pantev from the University of Pennsylvania. Delve into the construction of a natural category of generalized complex branes at the large volume limit, and learn about defining and working with generalized complex branes with substrates that are not submanifolds. Examine the utilization of shifted symplectic geometry and a new theory of homotopy complex structures on derived differentiable stacks. Discover the implications of this approach for generalized complex and generalized Kaehler geometry. Gain insights into joint work in progress with P. Safronov and B. Pym, as well as recent work by Y. Qin.