Abstract: In this presentation, we will discuss resonances for a quantum graph whose compact part is attached at a vertex to an infinite lead. The transmission condition at this vertex depends on a small parameter, and we prove, under certain assumptions about the graph's geometry, the existence of a family of resonances whose imaginary part tends to infinity. <br>
This work is motivated by a question arising from experimental physics where such families of resonances have been observed. I will show how, with elementary mathematical tools, it is possible to establish the existence and localization of these resonances. <br>
This is an interdisciplinary work in collaboration with Maxime Ingremeau, Ulrich Kuhl, Olivier Legrand, Junjie Lu (Univ. Nice).