3/29/2004
Lior Silberman
Princeton University
On Quantum Unique Ergodicity for Locally Symmetric Spaces
Abstract
I shall discuss joint work with Akshay Venkatesh on the quantum unique ergodicity conjecture of Rudnick Sarnak on locally symmetric spaces. In particular, in the case of the (co-compact) lattice associated to an order in a division algebra of degree $3$ over $\mathbb{Q}$, we show that any non-degenerate sequence of Hecke Maass eigenforms becomes equidistributed in the measure-theoretic sense.