Algebraic Geometry Seminar

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Closed Symmetric Differentials Which Are Products of Meromorphic Differentials

Speaker: Bruno de Oliveira, University of Miami

Location: Warren Weaver Hall 201

Date: Tuesday, February 11, 2014, 3:30 p.m.

Synopsis:

The connection between symmetric differentials of degree greater than 1 and the topology of manifolds is both tenuous and mysterious. Closed symmetric differentials form a subclass with clearer topological implications. We start with a result showing that the local decomposition of a closed symmetric differential as a product of closed 1-differentials is essentially of algebraic nature despite being possibly transcendental. The main result will be about the geometry of holomorphic products of closed meromorphic 1-differentials.