Navigate Up
Sign In
  • CRM
  • CRM
  • CRM
CRM > English > Activities > Summer school on Automorphism of free groups
Summer school on Automorphism of free groups


List of participants

Final information



Dates:   September 25-29, 2012
Place:   Centre de Recerca Matemàtica (CRM), Bellaterra, Barcelona, Spain​

Course's Notes NEW!

                             Notes 2


The goal of this summer school is to give an introduction to several issues around automorphisms of free groups which are at present very active research topics. There will be three longer courses (4-5h) and two smaller ones (2-3h).  The long courses will serve as serious approaches involving (home) work on the side of the participants.  The smaller courses are (in part) meant as "appetizers" to be followed up by weekly presentations or study groups for the core period of our 4 months program.

The topics of the courses vary from algorithmic/combinatorial to geometric/dynamical issues.​


Javier Aramayona, National University of Ireland at Galway
Christopher J. Leininger, University of Illinois at Urbana-Champaign 

         Geometric structures on surfaces and geodesic currents​ (4 hours)
Ruth Charney, Brandeis University

          Automorphisms of right-angled Artin groups (3 hours)
Volker Diekert, Universität Stuttgart

         Locally finite graphs of finite tree width and virtually free groups (5 hours)
​Saul Schleimer, University of Warwick

          Hyperbolic groups and straight-line programs (5 hours)
Pedro V. Silva, Centro de Matemática da Universidade do Porto

          Fixed points of virtually free group homomorphisms (3 hours)
Preliminary reading
For those participants who want to prepare already a bit before the beginning of the Summer School, here are some suggestions communicated to us by the speakers:
Prof. Aramayona and Prof. Leininger course: Document 

Prof. Charney's course: Document 

Prof. Diekert course: ​Document

Prof. Schleimer course: Document ​

Prof. Silva's course: Document 1
                                     Document 2
Scientific Committee
Matt T. Clay, Allegheny College
Juan González-Meneses, Universidad de Sevilla
Martin Lustig, Université d'Aix-Marseille
Alexandra Pettet, University of British Columbia at Vancouver
Enric Ventura Capell, Universitat Politècnica de Catalunya ​
Registration fee: 60 euros
The registration fee covers : attendance to the lectures, documentation package, and coffee breaks.
Deadline for registration and payment:  September 19, 2012
How to register: Look near the top or bottom right and there should be a shopping trolley. Click on this to register. At the very top of the next screen will be a heading saying ‘You have 1 activities to cart’, click on this and then follow the instructions. 


Participants are encouraged to book their lodging as soon as possible. We recommend you to stay at Vila Universitària 2. In case you want to make a reservation at Vila please send a message to Ms. Marta Roig ( .Please be sure to mention the reference "CRM Activity" when making your reservation.


Vila Universitària 2

The following services are included:

Weekly Cleaning service.

  • Water and electricity expenses included in the price.
  • Wire internet connection.
  • Bed and towels equipment.
  • Adapted television to the TDT.
  • Free entrance to SAF (sport facilities)

You can visit the Vila web page at the address: www.vilauniversitaria.comThe address is Vila Universitària, Campus Universitat Autònoma de Barcelona. 08193 Bellaterra. You can check how to get there using the local map of the CRM webpage: Vila Universitària 2 is right on the campus and the closest train station is Bellaterra train station at the FCG train line.

Hotel Campus

For visitors who stay less than two weeks it may be less expensive to stay in the Campus Hotel ( 

If you have any questions please contact:

Ms. Núria Hernandez 
Activities Coordinator