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Analysis, Geometry, and Dynamical Systems Seminar   RSS

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

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.

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

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.

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

Renormalisation of vector fields

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

A result on overlapping self-similar measures and its applications

21/03/2002, 14:00 — 15:00 — Room P3.10, Mathematics Building
Roman Hric, Centro de Análise Matemática, Geometria e Sistemas Dinâmicos

Topological characterization of minimal sets in one dimension

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

On the periodic structure of delayed difference equations on I and S1

21/03/2002, 10:00 — 11:00 — Room P3.10, Mathematics Building
, Matej Bel University, Banská Bystrica

Topological entropy of Devaney chaotic maps

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

Global Sturm attractors with circle symmetry

05/03/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building
Matthew Perlmutter, Centro de Análise Matemática, Geometria e Sistemas Dinâmicos

Dual pairs and conformal Hamiltonian systems

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

Adiabatic limits of eta and zeta functions

05/02/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Instituto de Matemática Pura e Aplicada, Rio de Janeiro e Centro de Matemática e Aplicações Fundamentais

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

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

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.

29/01/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building
Andras Batkai, Technische Universität Wien

Hyperbolicity of delay equations and the effect of small delays

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

A family of sharp inequalities for Sobolev functions

15/01/2002, 15:00 — 16:00 — Room P3.10, Mathematics Building
João Paulo Carvalho Dias, Universidade de Lisboa

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

10/01/2002, 11:00 — 12:00 — Room P3.10, Mathematics Building
Kirill Mackenzie, University of Sheffield

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.

18/12/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
António Guedes de Oliveira, Universidade do Porto

Intersecções e enlaces em matróides orientados

11/12/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building
Paul Norbury, Adelaide University, Australia

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.

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

Recorrência de Poincaré, dinâmica hiperbólica e fracções contínuas

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

Spectral sequences, pairings and twisted products

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