Resonances on Geometrically Finite Graphs and Buildings

Tobias Weich (Paderborn University)

Beyond Graph Laplacians

Resonances on locally symmetric spaces play an important role if the usual L^2 spectrum is mainly continuous and carries little information, e.g. on noncompact symmetric spaces or if the differential operator is non-elliptic (e.g. for geodesic flow vector fields). I want to present results that aim to develop a comprehensive theory of these phenomena on graphs and quoitents of buildings. Depending on the interest of the audiance I can focus more on buildings of more on graphs.