Generalized Geometry and Noncommutative Algebra Abstracts of Talks

A generalized complex structure may be understood as a "weakly holomorphic" Poisson structure: given an integrability condition, a generalized complex structure "integrates" to a symplectic groupoid equipped with a weak holomorphic structure, i.e., a compatible holomorphic structure on the associated stack. Similarly, generalized complex branes may be represented as weakly holomorphic coisotropic submanifolds. I will explain these weakly holomorphic structures, say something about their construction, and briefly discuss the implications for deformation quantization.