Title: Dessins d’enfants and their applications
Abstract: Grothendieck dessins d’enfants are connected embedded graphs of certain
special structure on smooth oriented compact surfaces without boundary. They
are naturally connected with so-called Belyi pairs, i.e., non-constant meromor-
phic functions with at most 3 critical values defined on algebraic curves. In
the talk we plan to provide some introduction to this theory as well as modern
challenges and achievements. Numerous examples and several applications will
be considered.
The talk is based on joint results with Natalia Amburg and George Shabat.