03.07.2018 14:15 Shimpei Kobayashi (Hokkaido University, Japan & DGD Guest Professor):
d'Alembert type representation for discrete surfacesMI 02.06.011 (Boltzmannstr. 3, 85748 Garching)
It is known that smooth constant negative Gaussian curvature surfaces can be constructed by a pair of ordinary differential equations (Krichever, Toda), which is an analogue of d'Alembert formula for wave equation. The heart of the construction is based on a method of integrable systems, especially infinite dimensional Lie groups, the loop groups. Recently by using the method of integrable systems, discretization of surfaces have been intensively considered. I will talk about d'Alembert type representation for discrete constant negative Gaussian curvature surfaces and discrete indefinite affine spheres.
LIVE Übertragung aus der TU Berlin.