On the Quantum Unique Ergodicity Conjecture for Hyperbolic Arithmetic Manifolds

Explore a mathematical seminar presentation examining recent developments in the quantum unique ergodicity conjecture for hyperbolic arithmetic manifolds, with particular focus on higher-dimensional cases beyond the previously resolved congruence surfaces by Lindenstrauss. Delve into the complex challenges that emerge when working with higher-dimensional manifolds through research conducted jointly with Alexandre de Faveri and Lior Silberman. Learn about the distribution of Hecke--Maass forms on hyperbolic arithmetic manifolds and gain insights into the fundamental conjecture originally proposed by Rudnick and Sarnak.