Geometry III: Discrete Riemann Surfaces (Winter 2017)

This is a course of the Berlin Mathematical School held in English.

Contents

Theory of Discrete Riemann Surfaces with applications.

Literature

• Lecture notes on Riemann Surfaces (Alexander Bobenko)
• Lecture notes on Discrete Differential Geometry (Alexander Bobenko)
• A. Bobenko, M. Skopenkov, Discrete Riemann surfaces: linear discretization and its convergence, J. reine und angew. Math. (2014), DOI 10.1515/crelle-2014-0065, arXiv:1210.0561 [math.CV]
• A.I. Bobenko, U. Pinkall, B. Springborn, Discrete conformal maps and ideal hyperbolic polyhedra, Geometry and Topology (2014), arXiv:1005.2698 [math.GT]
• A.I. Bobenko, F. Günther, Discrete Riemann surfaces based on quadrilateral cellular decompositions, Advances in Mathematics, Volume 311, (2017), 885-932, arXiv:1511.00652 [math.CV]
• A.I. Bobenko, S. Sechelmann, B. Springborn, Discrete conformal maps: Boundary value problems, cirlce domains, Fuchsian and Schottky uniformizations, In: Advances in Discrete Differential Geometry, A.I. Bobenko (ed.), Springer, 2016, 1-56
• A.I. Bobenko, F. Günther, Discrete complex analysis on planar quad-graphs, In: Advances in Discrete Differential Geometry, A.I. Bobenko (ed.), Springer, 2016, 57-132, arXiv:1505.05673 [math.CV]

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