Event time:

Tuesday, November 17, 2020 - 9:00am

Location:

Zoom

Speaker:

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.

Research Area(s):