Strasbourg Master Class on Geometry

Athanase Papadopoulos (1)

1 IRMA - Institut de Recherche Mathématique Avancée

The book contains surveys on geometry and topology, more specifically on hyperbolic geometry, three-manifold topology, representation theory of fundamental groups of surfaces and of three-manifolds, dynamics on the hyperbolic plane with applications to number theory, Riemann surfaces, Teichmüller theory, Lie groups and asymptotic geometry. The surveys are accessible to graduate students and they will be useful to researchers. They can also be used as course lecture notes. The titles and authors are: (1) Notes on non-Euclidean geometry, by Norbert A'Campo and Athanase Papadopoulos, pp. 1-182 ; (2) Crossroads between hyperbolic geometry and number theory, by Françoise Dal'Bo, pp. 183-232 ; (3) Introduction to origamis in Teichmüller space, by Frank Herrlich, pp. 233-253 ; (4) Five lectures on 3-manifold topology, by Philipp Korablev and Sergey V. Matveev, pp. 255-284 ; (5) An introduction to globally symmetric spaces, by Gabriele Link, pp. 285-332 ; (6) Geometry of the representation spaces in SU(2), by Julien Marché, pp. 333-370 ; (7) Algorithmic construction and recognition of hyperbolic 3-manifolds, links, and graphs, by Carlo Petronio, pp. 371-404 ; (8) An introduction to asymptotic geometry, by Viktor Schroeder, pp. 405-454.

Mots clés: Hyperbolic geometry; origami; 3-manifolds; symmertic spaces; links; graphs; asymptotic geometry.; asymptotic geometry

Domaines: Topologie géométrique [math.GT]

Athanase Papadopoulos (Dir.). Strasbourg Master Class on Geometry. European Mathematical Society Publishing House, pp.461, 2012, ISBN 978-3-03719-105-7. ⟨10.4171/105⟩. ⟨hal-00695953⟩