Title: Resonance chains on funneled tori
Abstract: Already in many scattering systems such as the n-disk systems and the symmetric 3-funneled hyperbolic surfaces, resonance chains have been rigorously studied. Their existence is related to the analyticity of the Selberg zeta function and they can be described explicitly by a polynomial. In a recent paper, Li, Matheus, Pan, and Tao introduced a different method to explicitly compute the polynomial derived from the intermediate zeta function, enabling the description of resonance chains not only on symmetric 3-funneled hyperbolic surfaces, but also for, funneled tori. In this talk, I will show you the numerics that I obtained for the funneled tori and try to explain the mathematical concepts behind them. This is an ongoing project with Tobias Weich.