Discrete Differential Geometry Minicourse: Hertich-Jeromin -- Discrete differential geometry/Integrable systems

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.