# IV Iberoamerican Meeting on Geometry, Mechanics and Control

IMPA, Rio de Janeiro, de 07/04 até 11/04, 2014

The “Iberoamerican Meeting on Geometry, Mechanics and Control” aims to gather not only experts on Geometric Mechanics, but also students and researchers on applied and related topics in pure mathematics. This meeting is the 4th event of a series of biennial meetings (previously held in Santiago de Compostela in 2008, Bariloche in 2011 and Salamanca in 2012).

This edition of the Iberoamerican Meeting will celebrate the 65th birthday of Prof. Jair Koiller.

Geometric Mechanics uses techniques and methods of differential geometry to study Hamiltonian (or Lagrangian) classical systems, field theory, quantum mechanics, control theory, differential equations and integrable systems, etc. The methods involve primarily symplectic geometry and Lie theory. Applications include imaging science, control problems in physics and other areas of engineering, and cell biology. Ideas from geometric mechanics also lead to efficient numerical methods for variational problems arising from engineering and biomathematics.

The conference will also host the “PIMS Marsden Memorial Lecture” by Prof. Mathieu Desbrun [Announcement].

## Certificates

## Committees

**Organizing Committe **

Paula Balseiro (UFF, Brazil)

Henrique Bursztyn (IMPA, Brazil)

Alejandro Cabrera (UFRJ, Brazil)

**Scientific Committee **

Henrique Bursztyn (IMPA, Brazil)

Hernán Cendra (UNS, Argentina)

Pedro L. García (USAL, Spain)

Manuel de León (CSIC, Spain)

Giuseppe Marmo (INFN, Italy)

Juan C. Marrero (ULL, Spain)

Eduardo Martínez (UNIZAR, Spain)

Miguel Muñoz-Lecanda (UPC, Spain)

Joana M. Nunes da Costa (UC, Portugal)

Ernesto Pérez-Chavela (UAM, México)

Tudor Ratiu (EPFL, Switzerland)

## Financial Support

If you want to be considered for local financial support, please send an email to ibero@impa.br with the following information:

-Name:

-Affiliation:

-In case you are a student the name of your advisor

**Financial Support to Attend the Meeting: **March 1, 2014

## Picture of the Group

## Poster Session

We plan to have a poster session during the conference. To submit a communication, the participant needs to prepare an abstract in LaTeX using the standard format of the school which can be downloaded by clicking here.

The text must be processed directly from LaTex to the .PDF format. The .PDF and .tex files should be sent to the e-mail ibero@impa.br not later than March 21, 2014.

Alberto Tacchella (ICMC-USP São Carlos)

The Noncommutative geometry of the phase space of the the Gibbons-Hermsen system

Alexis Arnaudon (Imperial College London)

Toward a general class of integrable G-Strands

Allyson dos Santos Oliveira (Universidade Federal de Sergipe)

Symmetry, bifurcation and stacking of the central configurations of the planar 1 4 body problem

Antonio Carlos Fernandes (Universidade Federal de Itajubá)

Rigidity Of Planar Central Configurations

Breno Raphaldini Silva (IAG-USP)

Equations for nearly geostrophic flows in rotating MHD

Dimitry Pavlov (Imperial College London)

A matrix-based framework to structure-preserving discretization of continuum theories

Eber Chuño (ICMC – Universidade de São Paulo)

The finite non-periodic Toda lattice

Germán Zorba (Universidad Nacional de La Plata)

Existence of crossing and impasse solutions of Implicit Differential Equations

Gerson Araujo (UFPE)

Estabilidade de um problema restrito dos oito corpos

Gersonilo Oliveira da Silva (UFRPE)

Instability and bifurcation in a problem of the N 1 Body

Jaap Eldering (Imperial College London)

Walking as a limit cycle through symmetry reduction

Leandro Salomone (Universidad Nacional de La Plata)

Lyapunov constraints and stabilization of bidimensional systems

Leandro Sena Cabral de Oliveira (UFPE)

Linear Hamiltonian Systems

Leonardo Lopes Abath (UFPE)

Algebraic Topology In The Analysis of Electrical Circuits

Lucas Rezende Valeriano(UFPE)

Estabilidade em um problema restrito dos quatro corpos

Maité Kulesza (UFRPE)

The 3-dimensional cored and logarithm potentials: periodic orbits

Marcela Zuccalli (Universidad Nacional de La Plata-Argentina)

Equations from orbit reduction by stagesl

Marcelo Caetano (IME-USP)

Vertical stability in the n-body problem

Marcelo Pedro dos Santos (UFRPE)

Existence and uniqueness of masses in polygonal central configurations

Márcia Pragana Dantas (UFRPE)

Equilibrium points of the restricted three body problem with perturbed potential

María Eugenia Garcia (Universidad Nacional de La Plata)

Optimal momentum map and optimal reduction for the two body problem

Mário Otávio Salles (UFRN)

On covariant poisson bracket in classical field theory

Marta Farré Puiggalí (ICMat)

The Inverse Problem of the Calculus of Variations for constrained systems

Maximiliano A. Palacios Amaya (Instituto Balseiro (UNCu), UNCo, CONICET)

Thermo-mechanical systems in a symplectic formalism

Pedro Lauridsen Ribeiro (CMCC-UFABC)

Perturbative algebraic quantum field theory around background fields: towards deformation quantization

Rodrigo Ristow Montes(UFPR)

Constant Contact Angle Surfaces in the Lorentz Group L3

Romero Solha (UFMG)

On a Poincare lemma for foliations

Santiago Capriotti (Universidad Nacional del Sur / CONICET)

Cartan algorithm and Gotay-like algorithm in field theory

Thiago Dias Oliveira Silva (Imperial College London)

Generic Finiteness Of (N – 2)-Dimensional Central Configurations For Homogeneous Potentials With Integer Exponents

Tomasz M. Tyranowski (Imperial College London)

Variational partitioned Runge-Kutta methods for Lagrangians linear in velocities

## Program

## Speakers

Paula Balseiro (UFF, Brazil)

Nonholonomic systems and the Halmiltonization problem

Maria Barbero (Univ. Carlos III, Madrid)

Interconnection of Dirac systems for Morse families

Anthony Bloch (Univ. of Michigan)

Nonholonomic, Dissipative, and Hamiltonian Dynamics

Hildeberto Cabral (UFPE, Recife)

Stability of equilibria in Hamiltonian systems

Alejandro Cabrera (UFRJ, Rio de Janeiro)

About multiplicative structures on Lie groupoids and vortex motion on surfaces

Manuel de León (ICMAT, Madrid)

Reduction of the Hamilton-Jacobi equation

Kurt Ehlers (UMCC, Nevada)

Bacterial motion: basic physics geometry biology

Maria del Rosario Etchechoury (UNLP, La Plata)

Implicit Differential Equations: Singularity Crossing Phenomena and Impasse Points

Yuri Fedorov (UPC, Barcelona)

Abelian varieties in algebraic integrable systems and separation of variables.

Sebastián Ferraro (UNS, Bahía Blanca)

Regularization of Hamilton´s principle for higher-order Lagrangian systems

Frank Michael Forger (USP, São Paulo)

Multisymplectic Geometry and Classical Field Theory – A Status Report

Luis Garcia-Naranjo (Mexico City)

Preservation of Volumes in Nonholonomic Mechanics

Mark Gotay (UBC, Vancouver)

Quantization via Deformation of Prequantization

Darryl Holm (Imperial College, London)

Momentum Maps, Shape Analysis and Solitons

Greg Huber (UC Santa Barbara)

Geometry of an Intracellular Membrane”

Velimir Jurdjevic (Univ. of Toronto)

Hamiltonian systems and optimal control strong maximum principle

Fátima Silva Leite (Univ. of Coimbra, Coimbra)

Fitting problems on Riemannian manifolds

Debra Lewis (UC Santa Cruz)

Allegro non troppo: moderated optimal control

Richard Montgomery (UC Santa Cruz)

From micro-organisms to the three-body problem

Edith Padrón (ULL, La Laguna)

Reduction of Symplectic Lie Algebroids

Clodoaldo Ragazzo (USP, São Paulo)

Hydrodynamic Vortex on Surfaces

Tudor Ratiu (EPFL, Lausanne)

Mechanics and control

Miguel Rodriguez Olmos (UPC, Barcelona)

The Fast-Superfast Transition in the sleeping Lagrange top

Carlos Tomei (PUC, Rio de Janeiro)

Other applications of factorizations for solving flows

Alan Weinstein (UC Berkeley)

Functorial quantization of linear canonical relations

**Postal Address: **Instituto Nacional de Matemática Pura e Aplicada

Estrada Dona Castorina 110, Jardim Botânico

Rio de Janeiro, RJ, CEP 22460-320, Brasil

E-mail: eventos@impa.br