Dessins d'enfants and finite groups

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• George Shabat, Moscow University
• Tuesday 17 May 2016, 16:00-17:00
• Watson Building, Lecture Room B.

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.

This talk is included in these lists:

• Algebra Seminar
• School of Mathematics Events
• Watson Building, Lecture Room B

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