# Meeting Details

Title: An odd-dimensional counterpart of generalized complex geometry GAP Seminar Aissa Wade, Penn State University In 2002, Hitchin introduced the theory of generalized complex structures which, has been developed since then. Generalized complex structures on an even-dimensional manifold M are generalizations of symplectic and complex structures on M. More precisely, any generalized complex structure on M can be viewed as a complex structure on the vector bundle $TM \oplus T^*M$. After a brief review of generalized complex geometry, we will discuss its odd-dimensional counterpart. The odd-dimensional analogues of generalized complex structures are called generalized contact structures. They include contact, cosymplectic, and normal almost contact structures. Our new concept provide a natural framework for all these geometric objects on odd-dimensional manifolds. However, there is a sharp contrast with generalized complex geometry. Non-trivial examples can be constructed using a Boothby-Wang construction type. This is a joint work with Yat Sun Poon.