Introduction
Could AGG act as permutation group for infinite number of objects?
Dessins d'enfant
Langlands program
Langlands program
Adeles
Construction of representations of adelic Gl_2
Compactness is guaranteed by algebraicity: dessins d'enfant
Dessins d'enfant
Could one combine quantum adelic representations with dessin d'enfant representations?
Dessins d'enfant and TGD
Appendix: Basic concepts and ideas related to the number theoretic Langlands program
Langlands correspondence and AGG
Abelian class field theory and TGD
Langlands correspondence and modular invariance
Correspondence between ndimensional representations of Gal(Fbar/F) and representations of GL(n,A_F) in the space of functions in GL(n,F)\GL(n,A_{F})
Frobenius automorphism
Automorphic representations and automorphic functions
Hecke operators
