Geometry and Topology

On reduction of Poisson manifolds

Speaker: 

Marco Zambon Centre de Recerca Matematica Barcelona

Date: 

Thursday, 24 July, 2008 - 13:30

Venue: 

sala 0.07

Poisson manifolds are generalizations of symplectic manifolds. We
will discuss the problem of obtaining a Poisson structure on the
quotient of a submanifold by a foliation, extending well-known results
of Marsden-Ratiu 1986. We will mention the super-geometric approach to
the problem.

Representations of Surface Groups into Lie Groups: Algebra, Geometry and Quantization

Speaker: 

Carlos Florentino Instituto Superior Técnico Lisboa

Date: 

Friday, 9 May, 2008 - 13:30

Venue: 

sala 0.07

We consider representations of the fundamental group of an orientable surface into a real or complex Lie group and study some of the algebraic, geometric and quantization properties of the spaces of isomorphism classes of such representations.
...

Coupled equations for Kähler metrics and Yang-Mills connections

Speaker: 

Mario García Fernández CSIC Madrid

Date: 

Thursday, 24 April, 2008 - 13:30

Venue: 

sala 0.07

I will study natural equations coupling Kähler metrics on a complex manifold and connections on a vector bundle. These equations generalize the conditions of constant scalar curvature for a Kähler metric and Hermite-Yang-Mills for a connection. I will provide a geometric interpretation of the...

Homotopy 2-types of complements of knotted surfaces in $S4$

Speaker: 

Joao Faria Martins Departamento de Matemática Instituto Superior Técnico

Date: 

Friday, 11 April, 2008 - 13:30

Venue: 

sala 0.07

Abstract- We describe an algorithm to determine the fundamental crossed module of a handle decomposition of the complement of an embedded surface in $S4$ (constructed from a hyperbolic splitting of it). This thus yields a geometric method to determine the algebraic 2-type of the complement of...

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