Tuesday, February 28, 2012 - 4:30pm to 5:30pm
Jennings Hall, Room 355
Title: Quantum unique ergodicity and homogeneous dynamics
Speaker: Elon Lindenstrauss, The Hebrew University of Jerusalem
Abstract: The quantum unique ergodicity conjecture of Rudnick and Sarnak states that on a compact hyperbolic manifold Laplacian eigenfunctions become equidistributed in the semiclassical limit. A particularly interesting testing group of this conjecture are arithmetic surfaces (and higher dimensional arithmetic manifolds) where the conjecture (and close analogues of it) have been established in several (but not all) of the most interesting cases, one of the approaches being via homogeneous dynamics. I will discuss this connection, as well as recent work with S. Brooks on behavior of quasimodes.