Event № 629
Generalized complex structures, introduced by Hitchin as a common generalization of complex and symplectic structures on manifolds, found many applications in differential geometry and in physics. They also have some peculiar features, such as the the extended diffeomorphism group (the so-called B-field action), D-branes (submanifolds with additional structure), and several competing notions of a generalized holomorphic map.
I my talk I will show that these generalized geometries and related structures can be naturally described and studied in the super-geometric context (i.e. by introducing anti-commuting coordinates) and how this description helps to elucidate the above peculiarities.