Symmetry and shape

Ilka Agricola (Philipps-Universität Marburg, Germany)

Jürgen Berndt (King's College London, United Kingdom)

Antonio Di Scala (Politecnico di Torino, Italy)

Anna Fino (Università di Torino, Italy)

Claudio Gorodski (Universidade de São Paulo, Brazil)

Luis Guijarro (Universidad Autónoma de Madrid, Spain)

Jason Lotay (University of Oxford, United Kingdom)

Paolo Piccione (Universidade de São Paulo, Brazil)

Silvio Reggiani (Universidad Nacional de Rosario, Argentina)

Alberto Rodríguez Vázquez (Université Libre de Bruxelles, Belgium)

Evangelia Samiou (University of Cyprus, Cyprus)

Francisco Vittone (Universidad Nacional de Rosario, Argentina)

Bycicle tracks with hyperbolic monodromy

Luis Hernández-Lamoneda (Centro de Investigación en Matemáticas, A.C., México)

We find new necessary and sufficient conditions for the bicycling monodromy of a closed plane curve to be hyperbolic. The manin tool is the ''hyperbolic development'' of a euclidean plane curve in the hyperbolic plane.