# Analysis, Geometry, and Dynamical Systems Seminar

## Past sessions

Newer session pages: Next 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Newest

### 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.

### 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.

### 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.

### 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.

### Intersecções e enlaces em matróides orientados

Older session pages: Previous 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 Oldest