Arithmetic Quantum Unique Ergodicity on Locally Symmetric Spaces

Algebra and Number Theory Seminar
Event time: 
Tuesday, November 17, 2020 - 9:00am
Zvi Shem-Tov
Speaker affiliation: 
Hebrew University of Jerusalem
Event description: 

The QUE conjecture of Rudnick and Sarnak asserts that high-frequency Laplace eigenfunctions on a negatively curved compact manifold become equidistributed. A well-studied variant of this problem, known as Arithmetic QUE, concerns the distribution of Hecke--Maass forms on locally symmetric spaces. In 2014 Brooks and Lindenstrauss proved AQUE for certain compact hyperbolic surfaces, for eigenfunctions of the Laplacian and only one Hecke operator. We generalize this result to higher rank spaces.