Geometry and Physics Seminar: Closed Symmetric Differentials of Degree 2 and the Geometry of Complex Surfaces

November 04 at 4:00 PM to 5:00 PM
Ungar Room 402
Mathematics Lecture

Geometry and Physics Seminar

Professor Bruno de Oliveira
University of Miami

will present

Closed Symmetric Differentials of Degree 2 and the Geometry of Complex Surfaces

Wednesday, November 4, 2009, 4:00pm
Ungar Room 402

Abstract: It is well understood how holomorphic differential p-forms reflect the topology of a given complex manifold. On the other hand, little is known about the relationship between the topology and the algebra of holomorphic symmetric differentials of complex manifolds. In this talk we will give results about the impact of the presence of closed symmetric 2-differentials on the topology and geometry of complex surfaces.