In this talk, we will discuss a linear theory of discrete complex analysis on quad-graphs.
We provide discrete counterparts of the most fundamental objects in complex analysis
and consider discrete versions of fundamental integral formulae. In the end, we will
sketch how the theory can be generalized to obtain discrete versions of the Riemann-Hurwitz
formula and the Riemann-Roch Theorem on discrete Riemann surfaces.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/158