© 2010-2017 Universidad del Valle, Cali, Colombia

Topics in Celestial Mechanics

The emphasis of the talks will be on Hamiltonian dynamics and its relationship to several aspects of mechanics, geometric mechanics, and dynamical systems in general. We shall try to put emphasis in the basic present problems of Hamiltonian Systems and Celestial Mechanics, as in the main open problems in central configurations of the n-body problem, the families of periodic solutions, the stability of periodic solutions and equilibria, applications to the dynamics of the Solar systems, and other relevant issues.

Instructions for poster preparation

Authors of posters should consider the following instructions for setting up their materials:

- Maximum available space for each poster:
**90 cm (36”) wide x 120 cm (48”) high** **Portrait display**is preferred.- Divide your title information into:
**Title; Author(s) Name(s); Institution, City, Country; email(s)**clearly indicating the presenting author. - Your poster must be written
**in English**. - Use
**preferably 18 pt prin**t for poster text; never use print fonts smaller than 14 pt. - You may include
**your photograph**in your poster

**On-line resources:**

- Power Point (PPT) Poster Templates:

http://www.genigraphics.com/other/poster_templates.asp

- LaTeX Templates for posters:

http://www.latextemplates.com/cat/conference-posters

https://www.overleaf.com/gallery/tagged/poster

Oral presentation guidelines

Authors of oral communications should consider the following instructions for setting up their materials:

- Each short communication will last 20 minutes including discussion.
- Only
**electronic slides**are acceptable. Be sure to use one of the following formats:**PDF, PostScript, PPT, MS Word**. - The first slide must contain the
**Title; Author(s) Name(s); Institution, City, Country; email(s)**clearly indicating the*presenting author*. - Try to recapitulate your presentation in approximately
**10-15 slides**. - All slides must be written
**in English**, even if destined for a Spanish-speaking session.

Nonlinear Dispersive Partial Differential Equations

As it is well known, there is a huge number of partial differential equations with a recognized physical relevance used to describe the nonlinear wave evolution (equations like the KdV, the Schrödinger, the Benjamin-Ono, the Benjamin-Bona-Mahony, the KP, some Boussinesq systems, the Benney-Luke models, among). Many of these models have a Hamiltonian structure and also are derived via an asymptotic analysis by imposing in models with a major complexity some restriction on the amplitude parameter or in the wave length parameter, for example.

The aim of this mini-symposium is to present for these models results of existence of travelling wave solutions (periodic or solitary waves), existence and uniqueness for the Cauchy Problem, unique continuation, stability of travelling waves, inverse scattering, among others.

Las TIC y el QueHacer Matemático: El Caso GeoGebra (in Spanish only)

A través de este mini simposio mostraremos con algunos casos particulares, la importancia del software GeoGebra en: La enseñanza, La investigación en educación, el desarrollo de la matemática misma, así como sus características y potencialidades.

Inverse Problems and their Applications

The objective of this mini-symposium is the dissemination of recent advances in the area of Inverse Problems. The mini-symposium welcomes contributions consisting of original research works in the area of inverse problems and their applications to signal and image processing, Medicine, Geology, Acoustics, Rheology, heat conduction, etc. Contributions may be theoretical, computational and/or experimental.

TOPICS OF INTEREST:

- Parameter identification in PDEs.
- Numerical analysis of inverse ill-posed problems.
- General theory: deterministic regularization methods, statistical regularization methods, results on existence, uniqueness and stability.
- Relations between inverse problems and information theory, communication theory, signal and image processing and waveletes.
- Qualification and saturation. Optimal convergence of regularization methods and reciprocal results.
- Parameter choice rules. Multiparameter strategies.
- Inverse eigenvalue problems.
- Inverse problems in heat conduction, inverse boundary value problems. Inverse problems in electromagnetism, elasticity, quantum mechanics and electrodynamics.
- Inverse problems in potential theory.

Geometry, Imaging and Applications

The mini-symposium brings up new geometric ideas with applications in the medical field. We are interested in interdisciplinary applications which merge signal and image processing with differential and classical geometry as well as numerical analysis and optimization. We welcome Computer Aided Geometric Design contributions with potential applications in dentistry and clinical medicine. We are also interested in proposals of heuristics to extract visual information from large datasets: volumes and time series.

Functional Data Analysis

Functional data are functions in Hilbert space L2. These functions are obtained from discrete observations by means of smoothing methods, using the representation on a finite basis of a finite dimensional subspace of L2.

This mini-symposium deals with the functional data analysis and its applications to problems of air pollution. However, it’s open to other applications and to theoretical contextualization.

Excitability in biological dynamical system: specially Neurons and Myocytes

The aim of mini-symposium is review electrophysiological mathematical models excitable system using stability analysis and bifurcation diagrams. Phenomenological and biophysical models describing Hodgkin-Huxley and Markovian formalism for modeling ionic kinetic are especially welcome.

Discrete Hamiltonian systems and their applications to pixellated optics on phase space

A Hamiltonian system based on rotation algebras exhibits a phase space where positions and momenta are discrete, finite, and equally spaced. There, wave functions are realized as images on pixelated screens. In two dimensions, these screens can be rectangular or circular; the unitary (composable and invertible) maps that can be implemented precisely are rotation, gyration, and fractional Fourier-Kravchuk transforms, as well as aberrations. In the limit of growing pixel number and density, one may recovers the geometric or wave optical Hamiltonian systems.

Applied probability, statistics and stochastic processes

Applied probability and statistics section is concerned with the application of probability theory and statistics to solve problems in various fields such as physics, chemistry, engineering, industry, biology, medicine and social sciences.

Main topics:

- Applied Statistics
- BiostatisticsReliability Analysis
- Communications Network
- Computer Network
- Estimation and testing
- Genome Sequencing
- Manufacturing Systems
- Markov Decision Process
- Phylogenetic
- Queuing theory
- Statistical Physics
- Stochastic Modeling
- Stochastic Simulation
- Time Series