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Short summary
The Iberoamerican Meeting on Geometry, Mechanics and Control is an international conference whose mission is to bring together top researchers working in these topics.
It is alternatively hosted by Spain and countries in Latin America. Previous editions of the meeting have taken place in Santiago de Compostela, Spain, 2008, Bariloche, Argentina 2011, Salamanca, Spain, 2012, Rio de Janeiro, Brazil 2014, Tenerife, Spain 2017, Guanajuato, Mexico 2018, and Bahia Blanca, Argentina 2021
This activity is one of the regular initiatives of the network Geometry, Dynamics, and Field Theories (GDTC), previously known as Mechanical Geometry and Control Theory Network, founded in 2015.
The 8th edition of the conference will take place in the city of San Cristóbal de La Laguna, Tenerife, on January 2026.
On this occasion, during the conference, we will celebrate the 60th birthday of one of the network’s founders, Juan Carlos Marrero. He was, for many years, the principal investigator of the national projects associated with this network
Aims and Scopes
The mission of the Iberoamerican Meeting on Geometry, Mechanics and Control is to bring together leading researchers from different countries and scientific disciplines who share a common interest in Geometric Mechanics and its applications.
Traditionally, this branch of mathematics concerns the application of particular geometric methods to many areas of mechanics, from mechanics of particles and rigid bodies to fluid mechanics and control theory. As a modern subject, Geometric Mechanics has its roots in the works of Arnold, Smale and Souriau written in the 1960’s and has led to important contributions in classical problems of mechanics and control. In recent years, however, Geometric Mechanics has found applications beyond these classical areas, with relevance in fields such as image processing, liquid crystals, magnetohydrodynamics, molecular dynamics, fluid-structure interactions, design of numerical integrators, and others.
The 8th edition of Iberoamerican Meeting on Geometry, Dynamics and Fields Theory
In this occasion
Principal topics
- Poisson, symplectic, Jacobi geometries
- Lie groups and symmetries in classical and quantum mechanics
- Geometry of gauge theories
- Geometric quantization
- Holonomic and Non-holonomic mechanics
- Vakonomic systems, subRiemannian geometry
- Calculus of variations; conservation laws. Noether theorems
- Classical and Quantum field theories
- Celestial mechanics and vortices
- Gravitation and Relativity Theory
- Numeric-geometrical integration of mechanical systems
- Lie algebroids and grupoids; Lie groupoids and discrete mechanics
- Integrable and super-integrable systems
- Symmetries and reduction of order
- Fluids dynamics
- Relative equilibria and relative periodic orbits in symmetric Hamiltonian systems. Stability and bifurcations
- Optimal control theory
- Control of mechanical systems Distributed control
- Geometric control
- Port Hamiltonians and Dirac structures