Vivana del Barco (UNICAMP, Brésil and Université Paris Sud) will speak in the geometry seminar on the 24th of April. The talk will take place in the Salle de Profs (9th floor, NO) at 13.30pm. Viviana’ title is *Hermitian geometry of real flag manifolds* and the abstract is below.

The aim of this talk is to present recent results about the Hermitian

geometry of real flag manifolds M=G/P.We will discuss results regarding the classification of those real flags

admitting almost complex structures which are invariant under the maximal

compact subgroup of the simple split Lie group G. In particular, it will

be shown that these manifolds are never K\”ahler, since they cannot carry

symplectic structures. Nevertheless,

other of the sixteen types of Hermitian structures with respect to

Gray-Hervella’s classification appear. For instance, invariant Hermitian

structures admitting metric connections with totally skew-symmetric

torsion can be given when G is type C; these structures can be induced to

the complex Stiefel manifold.The talk is based on works in collaboration with Ana Paula Cruz de Freitas

and Luiz San Martin, from Unicamp, Brazil.