Quantum Unique Ergodicity for Powerful Level via Shifted Convolution Sum

Explore the intricacies of Quantum Unique Ergodicity (QUE) for powerful levels through shifted convolution sums in this 33-minute lecture by Ritabrata Munshi from the Indian Statistical Institute, Kolkata. Delve into advanced mathematical concepts and their applications as part of the Fields Institute's SCHOLARII program. Gain insights into cutting-edge research in number theory and ergodic theory, and discover how shifted convolution sums contribute to our understanding of quantum chaos and spectral theory.