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16/04/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Pedro J. Freitas, *Universidade de Lisboa*

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The dynamics of the Siegel Upper Half Plane

We will present the classification of the isometries of the hyperbolic plane, and the definition of some concepts like limis sets. We'll then generalize some of these definitions results for the action of the symplectic group on the Siegel upper half plane - we'll define both the group and the half plane, and present some basic results about them. We'll also mention a few different ways of compactifying the half plane.

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09/04/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

David Evans, *Cardiff University*

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Modular invariants and subfactors

Braided subfactors provide a natural framework for understanding modular invariant partition functions in rational conformal field theory. Here we outline some of the mathematical structures in the underlying operator algebraic framework.

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02/04/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

João Lopes Dias, *University of Cambridge*

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Renormalisation of vector fields

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26/03/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Jörg Neunhäuserer, *Technische Universität Clausthal*

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A result on overlapping self-similar measures and its applications

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21/03/2002, 14:00 — 15:00 — Room P3.10, Mathematics Building

Roman Hric, *Centro de Análise Matemática, Geometria e Sistemas Dinâmicos*

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Topological characterization of minimal sets in one dimension

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21/03/2002, 11:00 — 12:00 — Room P3.10, Mathematics Building

Francisco Balibrea, *Universidad de Murcia*

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On the periodic structure of delayed difference equations on
$I$ and
${S}^{1}$

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21/03/2002, 10:00 — 11:00 — Room P3.10, Mathematics Building

Lubomír Snoha, *Matej Bel University, Banská Bystrica*

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Topological entropy of Devaney chaotic maps

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12/03/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Bernold Fiedler, *Freie Universität Berlin*

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Global Sturm attractors with circle symmetry

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05/03/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Matthew Perlmutter, *Centro de Análise Matemática, Geometria e Sistemas Dinâmicos*

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Dual pairs and conformal Hamiltonian systems

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19/02/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Sergiu Moroianu, *Universität Hamburg*

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Adiabatic limits of eta and zeta functions

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05/02/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Hermano Frid, *Instituto de Matemática Pura e Aplicada, Rio de Janeiro e Centro de Matemática e Aplicações Fundamentais*

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A quasilinear parabolic system for three-phase capillary flow in porous media

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31/01/2002, 11:00 — 12:00 — Room P3.10, Mathematics Building

Vítor Araújo, *Universidade do Porto*

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Sobre hiperbolicidade uniforme em sistemas não uniformemente hiperbólicos

Apresentam-se condições que garantem que sistemas não uniformemente hiperbólicos passem a ser uniformemente hiperbólicos.

As condições envolvem a expansão não uniforme em conjuntos de probabilidade total e possibilitam provas bastante simples dos resultados.

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29/01/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Andras Batkai, *Technische Universität Wien*

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Hyperbolicity of delay equations and the effect of small delays

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22/01/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

Pedro Girão, *Instituto Superior Técnico*

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A family of sharp inequalities for Sobolev functions

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15/01/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building

João Paulo Carvalho Dias, *Universidade de Lisboa*

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Existência e unicidade de soluções fracas para um sistema hiperbólico quaselinear com um termo de fonte singular

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10/01/2002, 11:00 — 12:00 — Room P3.10, Mathematics Building

Kirill Mackenzie, *University of Sheffield*

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The duality of double structures

The notion of a double vector bundle is implicit in a traditional approach to connection theory, and in the formulation of theoretical mechanics developed by Tulczyjew and others. Double vector bundles have an unexpected *3-fold* duality which is best understood in terms of triple structures and which underlies recent work on Lie bialgebroids and associated double structures.

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18/12/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

António Guedes de Oliveira, *Universidade do Porto*

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Intersecções e enlaces em matróides orientados

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11/12/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Paul Norbury, *Adelaide University, Australia*

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Integrable systems and geometry

Holomorphic functions can be useful when studying many natural nonlinear differential equations. Two examples are nonlinear magnetic monopoles and the nonlinear KdV equation that describes solitary water waves. The rich structure of complex analysis makes this a powerful tool whenever it can be applied. More specifically, a meromorphic function can be uniquely determined by very little information, say knowledge of its poles and residues. This can sometimes enable us to deduce many features, including explicit solutions, of a nonlinear differential equation.

This talk will give an introductory account of these ideas. It is hoped that the talk contains something for both novices and experts in the field.

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04/12/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Luis Barreira, *Instituto Superior Técnico*

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Recorrência de Poincaré, dinâmica hiperbólica e fracções contínuas

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20/11/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Michael Paluch, *Instituto Superior Técnico*

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Spectral sequences, pairings and twisted products