La Cristalera teaching centre (Miraflores de la Sierra, Madrid) is hosting the school throughout the week
From 23 to 27 June, the XVII International ICMAT Summer School on Geometry, Dynamics and Field Theory is taking place at the teaching centre La Cristalera (Miraflores de la Sierra, Madrid).
The event is especially aimed at early-career researchers, including PhD students and postdoctoral researchers. This year, there are over 40 participants from countries such as Spain, Belgium, Poland, Argentina and Singapore. Throughout the week, they will be introduced to research topics that connect differential geometry with areas such as physics, engineering and the development of numerical methods, among others.
The numerous applications of differential geometry to other branches of science make it a very active field of research today. “Equations precisely define the behaviour and time evolution of all kinds of physical systems,” says David Martín de Diego, CSIC scientific researcher at ICMAT and co-organiser of the school. “These equations are associated with very interesting geometric properties, which have driven areas such as Riemannian geometry, symplectic geometry and multisymplectic geometry,” he continues.
The core of the programme consists of three courses that will address different research topics in the field. David Martínez Torres (Technical University of Madrid) will introduce current research topics related to the geometry of Lie groups, which are essential for describing the symmetry properties of many physical systems. Meanwhile, Juan Margalef (Carlos III University of Madrid) will focus his course on field theories in which symmetries induced by Lie groups also play an important role. Finally, Sebastián Ferraro (National University of the South, Argentina) will present geometric properties of dynamical systems in order to design accurate numerical methods that preserve the geometric structure.
In addition to these courses, there will be around ten short talks and poster sessions, offering young researchers the opportunity to present their work. The school also serves as a meeting point for those working in the same area, thus fostering future collaborations.
Alongside Martín de Diego, the organisers of the event are María Barbero Liñán (Technical University of Madrid), Leonardo Colombo (Centre for Automation and Robotics, CSIC-UPM), Juan Carlos Marrero (University of La Laguna) and Edith Padrón (University of La Laguna).
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