Géométrie et dynamique dans les espaces de modules

Séminaire Mensuel

Séminaire - Septembre

Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris.  Pour télécharger le programme du mois: septembre.pdf.

  • 12/09/2018Jayadev S. Athreya (University of Washington)  -  salle 05

  • Titre: Geodesics on Platonic Solids

    Resumé: In joint work with David Aulicino and Pat Hooper, we study closed saddle connections on surfaces of Platonic solids, viewed as k-differentials- in particular, we show that there are 31 equivalence classes (up to the action of the Veech group of a natural cover) of closed saddle connections on the dodecahedron, while there are no closed saddle connections on any other Platonic solid. This answers a question of D. Fuchs. We will also describe some of the history of the subject of geodesics on polyhedra, which goes back to at least 1906 and the work of Staeckel and Rodenburg.