Discrete Differential Geometry: Integrable discretization (Udo Hertrich-Jeromin, TU Wien) All talks will be in Carslaw 535. This is a short course on integrable discretization aimed at students of differential geometry: only some basic knowledge of differential geometry will be assumed. - Tuesday 12/9 2-3:30pm Curves and Surfaces (75-90’): this is a preparation/revision of some basic/classical differential geometry: on the one hand, this session serves to fix notations and, on the other hand, to discuss/revise some examples that will play a role in subsequent sessions; - Friday 15/9 1-2:30pm Intuitive discretization (75-90’): in this session we will discuss some intuitive approaches to discretize notions from classical differential geometry - the session serves two purposes: firstly, to see how different viewpoints lead to different discretizations; secondly, to prepare some notions/discretizations that will play a role in the last session on integrable discretization; - Tuesday 19/9, 2-3:30 Transformations and Permutability (90’) - this session is the key to integrable discretization: we will discuss the (classical) differential geometry that provides the core ideas of integrable discretization - the introduced concepts are classical, but may be unfamilar to many participants; - Friday 22/9, 1-2:30pm, Integrable discretization (75-90’): finally, we will discuss the integrable discretization of pseudospherical surfaces and formulate the principles of "integrable discretization" based on this example.