Séminaire Gaston Darboux :

Le 24 mai 2007 à 17:00 - salle 431

Présentée par Mercat Christian - Université Montpellier 2

Discrete Riemann Surfaces

I will give a survey of the theory of discrete Riemann surfaces, the linear and the quadratic ones (circle patterns), present the major theorems (harmonicity, Hodge theorem, quasi-conformal maps, existence of forms with given poles and holonomies, discrete polynomials and exponentials), show examples of discrete holomorphic functions and describe an algorithm to compute these functions.