2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228087In these notes we discuss the "self-reducibility property" of the Weil representation. We explain how to use this property to obtain sharp estimates of certain higher-dimensional exponential sums which originate from the theory of quantum chaos. As a result, we obtain the Hecke quantum unique ergodicity theorem for generic linear symplectomorphism $A$ of the torus $T^{2N}=R^{2N}/Z^{2N}.Notes from the lectures delivered at AGAQ conference (Istanbul, June 2006)Mathematical PhysicsRepresentation Theorytext