Seminario
Aula 1B1
Speaker: Orchidea Maria Lecian, Comenius University, Bratislava (Slovakia)
Title: Folding, tiling and tori: a Hamiltonian analysis
Abstract:
After introducing the modular group, the projective linear group and its congruence subgroups are described; the Hecke groups are defined, and their congruence subgroups realizations are investigated. The differences between the congruence subgroups for Gamma_2 and Gamma(2) are outlined. Non-arithmetical groups are considered, along with
the possible subgroup structures. The Picard and the Vinberg groups are examined in detail according to the tools outlined. The folding (sub)group and the tiling (sub)group structures are compared and specified. Definition for geodesics trajectories are provided ()also after the Hamiltonian analysis. The possible tori arising from this description are defined.
Based on: OML, A more suitable definition of quadratic surds (submitted).