Computational Algebra Seminar

Computational Algebra Seminar

Helena Verrill
Copenhagen

Fundamental domains for congruence subgroups

Thursday 10th March, 3-4pm

Eastern Avenue Tutorial Room 404

I will give an elementary introduction to congruence subgroups and their action on the upper half complex plane, using a java program to illustrate some of the ideas. I will briefly discuss some background and motivation. Then I will talk about the methods used for computing fundamental domains for this action, in particular the method of Kulkarni. I will give a demonstration and illustration of this method as implemented in magma, and I will discuss problems for further work and computation.