University of Birmingham > Talks@bham > Algebra Seminar > Dessins d'enfants and finite groups

Dessins d'enfants and finite groups

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If you have a question about this talk, please contact David Craven.

The theory of dessins d’enfants is based on the equivalence of a certain combinatorial-topological category (of graphs on compact oriented surfaces) and an arithmetico-geometric one (of algebraic curves over number fields together with special rational functions on them). The objects of both categories admit a group-theoretic description as well.

The talk will start with a brief introduction to the theory. After that the group-theoretic aspects of it will be discussed, basically related to a certain graphic images of 2-generated groups and to the Inverse Galois Problem. Some examples will be presented and the lines of research suggested.

This talk is part of the Algebra Seminar series.

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