Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture by the instructor covers the construction of Riemann surfaces from equilateral triangles, exploring topics such as finite-type maps, equilateral triangulations, compact Belyi surfaces, and non-compact surfaces. The lecture delves into the dynamics of finite-type maps, the existence of finite-type maps on non-compact Riemann surfaces, Belyi functions, and the relationship between equilateral triangulations and Belyi functions. It also discusses the compact and non-compact cases, the existence of finite-type maps on non-compact Riemann surfaces, and various constructions involving quasiconformal folding and quasiregular functions.