A key research area in discrete differential geometry is "integrable discretizations". Instead of attempting to approximate a smooth theory by a (fine enough) discretiziation, the idea in integrable discretizations is to create an independent discrete theory that is used to model the problem at hand.

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The lectures will give an introduction to basic ideas of integrable discretization, an outline of some key methodology and of the problems to be solved on the way; to elucidate the presented concepts some particular classes of smooth/discrete surfaces will be discussed in detail in the second part of the lectures. Then, students will prepare presentations on smooth and discrete geometries in pairs/groups, based on classical references and recent research articles.

Mason Pember, Vienna University of Technology

Gudrun Szewieczek, Vienna University of Technology