La Cristalera, Miraflores de la Sierra, Madrid, Spain. 

June 20-24, 2016.


Welcome to X International Summer School on Geometry, Mechanics and Control organised by the Geometry,  Mechanics and Control (GMC) Network.

The tenth edition of the International Summer School on Geometry, Mechanics and Control will be held in La Cristalera, Madrid, Spain, in June 20-24, 2016.

The school is oriented to young researchers, Ph.D. and postdoctoral students in Mathematics, Physics and Engineering, in particular those interested in focusing their research on geometric control and its applications to mechanical and electrical systems, and optimal control. It is intended to present an up-to-date view of some fundamental issues in these topics and bring to the participants attention some open problems, in particular problems related to applications.  This year the courses will be delivered by:

                           The interplay between topology, geometry and information theory.

                                     Lecture 1: Video Data and the Inverse Perception Problem in Animal Flight Behaviors.

                                     Lecture 2: Bio-inspired Flight Control -- What we learn from bats and birds.

                                     Lecture 3: Topological Data Analytics.

                                     Lecture 4: Topological Aspects of Optimal Information Acquisition.

  • Luis García Naranjo, Instituto de investigaciones en matemáticas aplicadas y sistemas, Universidad Nacional Autónoma de México, Mexico.

Geometry and dynamics of nonholonomic systems.


Slides - examples 

  • Janusz Grabowski, Institute of Mathematics, Polish Academy of Sciences, Poland.

Introduction to the theory of graded bundles. 

Lecture 1 - slides -

Lecture 2 - slides

Lecture 3 - slides

Lecture 4 - slides

Lecture 5 - slides


This School is an activity within the ICMAT Severo Ochoa Excellence Program.


Important dates:

  • Application for scholarship no later than April 30, 2016.
  • Abstract submission for short talks/posters no later than April 30, 2016.
  • Registration no later than May 15, 2016.
  • Accommodation no later than May 15, 2016.

Please send your abstract to



Invited talk (Friday, June 24, 2016) by Miguel Rodríguez Olmos (Univesitat Politècnica de Catalunya, Spain).

Slides "Nonlinear Stability Riemann Ellipsoids Symmetric Configurations of with Symmetric Configurations"

Short talks (Wednesday, June 22, 2016):

17:15 On the relationship between the energy shaping and the Lyapunov constraint based methods. Sergio Grillo (Instituto Balseiro, Argentina).

17:35 Casimir preserving discretization of incompressible Euler equations on compact orientable surfaces. Milo Viviani (Chalmers Tekniska Högskola, Sweden).

17:55 The hamiltonization of a homogeneous ball on a convex surface. Luis Pánfilo Yapu Quispe (Universidade Federal Fluminense, Brazil).


If you plan to attend this Summer School, please fill in this form before June 1, 2016.

The standard registration fee for participants is 200 Euros.

The fee for students, postdocs and retired scientists is 100 Euros.

Payment should be made in cash at arrival.

Financial Support:

A limited number of scholarships for PhD students, advanced undergraduate students, and post-docs, will be provided by the organizers in order to partially cover the travel and/or lodging expenses. 

If you want to apply for a scholarship, please send your CV including names for recommendation letters (and a transcript in case you are an undegraduate student) to, no later than April 30, 2016.

Lodging reservation:

The price of the rooms at Residencia La Cristalera is 76 euros per day and per person (full board).

The number of rooms that have been reserved by the organization is limited therefore we ask you to make the reservation as soon as possible (not later than May 15, 2016).

To make the reservation please indicate your arrival and departure date at La Cristalera, Miraflores de la Sierra, when you fill in the registration form (the link is available in the registration section).



Victor  Arnaiz ICMAT
John Bailleul Boston University
Ángel Ballesteros Universidad de Burgos
Alejandro Bravo Doddoli Universidad Nacional Autonoma de Mexico
Leonardo Colombo University of Michigan
Majid Darehmiraki Ferdowsi university of Mashhad
Manuel de León Rodríguez ICMAT
Victor  Dods USA
Eduardo Fernández Saiz Universidad de Burgos
Luis García-Naranjo UNAM
Jordi Gaset UPC
Janusz Grabowski Polish Academy of Sciences
Sergio Grillo Instituto Balseiro
Iván Gutiérrez Sagredo Universidad de Burgos
David Iglesias Ponte University of La Laguna
Víctor Jiménez Morales ICMAT
Jorge Jover Galtier Universidad de Zaragoza
Natalia Kudryashova University of Cambridge
Manuel López Sheriff ICMAT
Juan Carlos Marrero University of La Laguna
David Martín de Diego ICMAT
Eduardo Martínez Universidad de Zaragoza
Sameh Mohamed École Polytechnique
Alberto Montefusco ETH Zurich
Ashraf Owis Cairo University
Edith Padrón Fernández University of La Laguna
Carlos Peón-Nieto Universidad de Granada
Zohreh Ravanpak La Laguna University
Miguel Rodríguez Olmos UPC
Xavier Rivas UPC
Cristina  Sardón Muñoz ICMAT
Mohammad Shuaib Aligarh Muslim University
Milo Viviani Chalmers Tekniska Högskola
Thomas Wetere Tulu Chinese Academy of Sciences
Luis Pánfilo Yapu Quispe Universidade Federal Fluminense
Robin Zeng Dartmouth College



Organizing Committee

  • María Barbero Liñán (Universidad Politécnica de Madrid, Spain)
  • David Iglesias Ponte (Universidad de La Laguna, Spain)
  • David Martín de Diego (Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Spain)
  • Edith Padrón (Universidad de La Laguna, Spain)

Scientific Committee

  • Anthony Bloch (University of Michigan, USA)
  • Jair Koiller (Fundação Getulio Vargas, Brazil)
  • Manuel de León (Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Spain)
  • Juan Carlos Marrero (Universidad de La Laguna, Spain)
  • Eduardo Martínez (Universidad de Zaragoza, Spain)
  • Miguel Muñoz Lecanda (Universidad Politécnica de Cataluña, Spain)

How to get here:

Last minute information: There is a bus scheduled on Sunday afternoon, June 19, 2015, that will depart at 7 pm from C/Serrano 113 in Madrid to Miraflores de la Sierra.  Please send an e-mail to

 if you want to take it. Please be on time.

There will a bus back to Madrid on Friday, June 24, 2016, after lunch, around 3pm.


Arrival by plane

You can take a taxi from the airport, but this is an expensive choice (at least 90 Euros, but be sure to ask for the price beforehand). You can also take a taxi from the Airport to Plaza de Castilla (around 45 Euros) and then take a bus to Miraflores.

A good choice is taking the Metro from the Airport to Plaza de Castilla, and then a bus to Miraflores. At the airport, take the Metro (underground), Line 8 (pink) to "Colombia" (3 stations). Transfer in Colombia to line 9 (purple) to "Plaza de Castilla" (3 stations). This should take about 25 minutes. In any case you can ask for a free map of the Metro when you buy a ticket.

Once you have reached Plaza de Castilla there are a lot of bus stops between the two big inclined towers. Only one (number 725) goes to Miraflores de Sierra. Look for number 725 (Madrid - Plaza de Castilla to Miraflores de la Sierra, Bustarviejo). Here you can find the current timetable for bus 725.

A taxi from Plaza de Castilla to Miraflores costs minimum 70 Euros.

The trip to Miraflores de la Sierra takes approximately 60 minutes and departure is aprox. every hour from 7.30 a.m. to 23.15 p.m. Your stop is the next after "Soto del Real". Once you get off, you still have to walk around 20 minutes up along the main road to get to La Cristalera.

A one-way ticket to Miraflores by bus number 725 costs about 5.10 Euros.

Arrival by train

Coming from the North, the train station is usually Chamartin. From Chamartin, you can take the Metro (line 10: dark blue) to Plaza de Castilla but it is only one station and it is also easy to walk from Chamartin to Plaza Castilla. If you arrive at Atocha, you can take the Metro (line 1: light blue, 13 stations) to Plaza Castilla and follow the above mentioned instructions for the bus.

Arrival by car

Take the big periferial highway M-40. If you come from the south, Portugal, or the Zaragoza Highways, take direction North (N-I). If you come from the Burgos Highway (N-I) take the direction M-607 Tres Cantos- Colmenar Viejo. Go out of the M-40 to the M-607 Highway towards Tres Cantos-Colmenar viejo. When the Highway ends (roughly 30 km) take the direction Miraflores. After 30 km you will reach the village. Once there, follow the signs towards La Cristalera, or Puerto de la Morcuera. One km outside the village you will find the entrance to the residence on your left (but watch out for it since sign is not a big one and may be missed.